36:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
©Shutterstock:@0.068421:0.295666:0.068421:0.252840:0.056510:0.252840:0.056510:0.295666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprende esta simbología::@0.074430:0.472183:0.244162:0.472183:0.244162:0.457284:0.074430:0.457284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
|x| valor absoluto:@0.131506:0.490829:0.244164:0.490829:0.244164:0.475930:0.131506:0.475930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≥ mayor o igual que:@0.109493:0.509475:0.244166:0.509475:0.244166:0.494576:0.109493:0.494576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≤ menor o igual que:@0.107148:0.528120:0.244166:0.528120:0.244166:0.513221:0.107148:0.513221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≠ no es igual:@0.158243:0.546766:0.244166:0.546766:0.244166:0.531867:0.158243:0.531867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇔:@0.125860:0.565035:0.143316:0.565035:0.143316:0.549633:0.125860:0.549633:0.000000
 si solamente si:@0.143316:0.565412:0.244164:0.565412:0.244164:0.550513:0.143316:0.550513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.146616:0.584586:0.160571:0.584586:0.160571:0.568580:0.146616:0.568580:0.000000
 pertenece a:@0.160571:0.584058:0.244164:0.584058:0.244164:0.569159:0.160571:0.569159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    Comunicacional:@0.100947:0.439742:0.237007:0.439742:0.237007:0.422842:0.100947:0.422842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El valor absoluto de un número real x se denota por | | y es un número real no nega-:@0.286308:0.373053:0.902563:0.373053:0.902563:0.356664:0.286308:0.356664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.672199:0.373053:0.679662:0.373053:0.679662:0.356691:0.672199:0.356691:0.000000
tivo que se define como::@0.286308:0.389649:0.467339:0.389649:0.467339:0.373260:0.286308:0.373260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.393905:0.389649:0.397940:0.389649:0.397940:0.373260:0.393905:0.373260:0.000000
x:@0.293322:0.424689:0.300785:0.424689:0.300785:0.408327:0.293322:0.408327:0.000000
xsix:@0.338027:0.414316:0.380042:0.414316:0.380042:0.397955:0.338027:0.397955:0.000000:0.000000:0.000000:0.000000
xsix:@0.343371:0.435061:0.385386:0.435061:0.385386:0.418700:0.343371:0.418700:0.000000:0.000000:0.000000:0.000000
= :@0.308617:0.424274:0.331323:0.426637:0.331323:0.409695:0.308617:0.407332:0.000000:0.000000:0.000000
≥:@0.384465:0.413901:0.394582:0.413901:0.394582:0.396959:0.384465:0.396959:0.000000
−:@0.331852:0.434646:0.341969:0.434646:0.341969:0.417704:0.331852:0.417704:0.000000
<:@0.389807:0.434646:0.399924:0.434646:0.399924:0.417704:0.389807:0.417704:0.000000
:@0.322220:0.415158:0.331323:0.415158:0.331323:0.398216:0.322220:0.398216:0.000000
:@0.322220:0.438144:0.331323:0.438144:0.331323:0.421202:0.322220:0.421202:0.000000
,  :@0.346987:0.414315:0.372601:0.414315:0.372601:0.397926:0.346987:0.397926:0.000000:0.000000:0.000000
,  :@0.352331:0.435060:0.377945:0.435060:0.377945:0.418671:0.352331:0.418671:0.000000:0.000000:0.000000
0:@0.397515:0.414315:0.406508:0.414315:0.406508:0.397926:0.397515:0.397926:0.000000
0:@0.402859:0.435060:0.411852:0.435060:0.411852:0.418671:0.402859:0.418671:0.000000
Para resolver ecuaciones e inecuaciones con valor absoluto se utilizan las siguientes :@0.286323:0.466012:0.906556:0.466012:0.906556:0.449623:0.286323:0.449623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedades::@0.286323:0.482609:0.381925:0.482609:0.381925:0.466220:0.286323:0.466220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de las ecuaciones con valor absoluto:@0.286308:0.515369:0.786488:0.515369:0.786488:0.493859:0.286308:0.493859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para cualquier número real a > 0, si | | =  , :@0.286308:0.538151:0.596019:0.538151:0.596019:0.521762:0.286308:0.521762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.549084:0.538151:0.556547:0.538151:0.556547:0.521790:0.549084:0.521790:0.000000
a entonces x:@0.579508:0.538151:0.669822:0.538151:0.669822:0.521790:0.579508:0.521790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 =   o   = – :@0.669822:0.538151:0.755787:0.538151:0.755787:0.521762:0.669822:0.521762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a x:@0.688876:0.538151:0.723483:0.538151:0.723483:0.521790:0.688876:0.521790:0.000000:0.000000:0.000000
a:@0.755787:0.538151:0.765056:0.538151:0.765056:0.521790:0.755787:0.521790:0.000000
Propiedades de las inecuaciones con valor absoluto:@0.286308:0.570909:0.805907:0.570909:0.805907:0.549399:0.286308:0.549399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea  , :@0.286308:0.600806:0.330995:0.600806:0.330995:0.584417:0.286308:0.584417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x a:@0.316289:0.600806:0.340264:0.600806:0.340264:0.584445:0.316289:0.584445:0.000000:0.000000:0.000000
 :@0.344299:0.601387:0.376990:0.601387:0.376990:0.583781:0.344299:0.583781:0.000000:0.000000:0.000000
 y   ≥ 0, se cumple que: :@0.376990:0.600806:0.553674:0.600806:0.553674:0.584417:0.376990:0.584417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.393170:0.600806:0.402439:0.600806:0.402439:0.584445:0.393170:0.584445:0.000000
| | ≤   si y solo si –  ≤   ≤    ó    ≤    y    ≥ –:@0.286308:0.624525:0.600462:0.624525:0.600462:0.608136:0.286308:0.608136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.290122:0.624525:0.297585:0.624525:0.297585:0.608164:0.290122:0.608164:0.000000
a:@0.320086:0.624525:0.329355:0.624525:0.329355:0.608164:0.320086:0.608164:0.000000
a:@0.417218:0.624525:0.426487:0.624525:0.426487:0.608164:0.417218:0.608164:0.000000
x:@0.445172:0.624525:0.452636:0.624525:0.452636:0.608164:0.445172:0.608164:0.000000
a:@0.471321:0.624525:0.480590:0.624525:0.480590:0.608164:0.471321:0.608164:0.000000
x:@0.505984:0.624525:0.513447:0.624525:0.513447:0.608164:0.505984:0.608164:0.000000
a:@0.532132:0.624525:0.541401:0.624525:0.541401:0.608164:0.532132:0.608164:0.000000
x:@0.565099:0.624525:0.572563:0.624525:0.572563:0.608164:0.565099:0.608164:0.000000
a:@0.600370:0.624525:0.609639:0.624525:0.609639:0.608164:0.600370:0.608164:0.000000
Sea  , :@0.634148:0.600806:0.677729:0.600806:0.677729:0.584417:0.634148:0.584417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x a:@0.663392:0.600806:0.686814:0.600806:0.686814:0.584445:0.663392:0.584445:0.000000:0.000000:0.000000
 :@0.690481:0.601387:0.722803:0.601387:0.722803:0.583781:0.690481:0.583781:0.000000:0.000000:0.000000
  y    ≥ 0, se cumple que::@0.722619:0.600806:0.898732:0.600806:0.898732:0.584417:0.722619:0.584417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.745948:0.600806:0.755217:0.600806:0.755217:0.584445:0.745948:0.584445:0.000000
| | ≥   si y solo si   ≤ –   ó    ≥ :@0.634148:0.624525:0.855243:0.624525:0.855243:0.608136:0.634148:0.608136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.638054:0.624525:0.645518:0.624525:0.645518:0.608164:0.638054:0.608164:0.000000
a:@0.668386:0.624525:0.677655:0.624525:0.677655:0.608164:0.668386:0.608164:0.000000
x:@0.757779:0.624525:0.765242:0.624525:0.765242:0.608164:0.757779:0.608164:0.000000
a:@0.793510:0.624525:0.802779:0.624525:0.802779:0.608164:0.793510:0.608164:0.000000
x:@0.828725:0.624525:0.836188:0.624525:0.836188:0.608164:0.828725:0.608164:0.000000
a:@0.855243:0.624525:0.864512:0.624525:0.864512:0.608164:0.855243:0.608164:0.000000
nidad de conocimientos:@0.306727:0.345696:0.480398:0.345696:0.480398:0.330332:0.306727:0.330332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.346482:0.297460:0.346482:0.297460:0.329346:0.284892:0.329346:0.000000
Pienso y progreso:@0.294883:0.285695:0.417347:0.285695:0.417347:0.270331:0.294883:0.270331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué tipo de operación se debe plantear para obtener la solución?:@0.294883:0.304347:0.738916:0.304347:0.738916:0.289448:0.294883:0.289448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En una planta de procesamiento de alimentos, las máquinas deben trabajar a una :@0.287495:0.168345:0.907733:0.168345:0.907733:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
temperatura de 20 °C, con una tolerancia de ±3 °C.:@0.287495:0.184941:0.658035:0.184941:0.658035:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esto significa que los alimentos deben mantenerse dentro de un rango que no se :@0.287495:0.208660:0.907676:0.208660:0.907676:0.192271:0.287495:0.192271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.362680:0.208660:0.366716:0.208660:0.366716:0.192271:0.362680:0.192271:0.000000
aleje más de 3 grados de los 20 °C para que el proceso sea seguro.:@0.287495:0.225257:0.770845:0.225257:0.770845:0.208868:0.287495:0.208868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es el rango seguro de temperatura?:@0.287495:0.248976:0.591769:0.248976:0.591769:0.232587:0.287495:0.232587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Casos especiales de inecuaciones con valor absoluto:@0.287495:0.660321:0.739340:0.660321:0.739340:0.641884:0.287495:0.641884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la vida cotidiana, ¿qué :@0.076491:0.192000:0.247834:0.192000:0.247834:0.177101:0.076491:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entiendes por intervalo?:@0.082203:0.207088:0.244162:0.207088:0.244162:0.192189:0.082203:0.192189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.108521:0.163125:0.227756:0.163125:0.227756:0.146224:0.108521:0.146224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuaciones e inecuaciones :@0.286308:0.060073:0.681396:0.060073:0.681396:0.026520:0.286308:0.026520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de primer grado:@0.286308:0.090250:0.525646:0.090250:0.525646:0.056698:0.286308:0.056698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
	:@0.094760:0.108603:0.159692:0.108603:0.159692:0.011514:0.094760:0.011514:0.000000
Solución: el conjunto vacío:@0.298267:0.698506:0.491855:0.698506:0.491855:0.683142:0.298267:0.683142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución: :@0.553222:0.690962:0.623565:0.690962:0.623565:0.675598:0.553222:0.675598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los números reales :@0.511492:0.706050:0.649748:0.706050:0.649748:0.690686:0.511492:0.690686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.649748:0.706578:0.661843:0.706578:0.661843:0.690573:0.649748:0.690573:0.000000
Solución: un punto:@0.718685:0.698506:0.855666:0.698506:0.855666:0.683142:0.718685:0.683142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
|2 + 7| ≤ –5:@0.293694:0.729737:0.374474:0.729737:0.374474:0.714838:0.293694:0.714838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.305420:0.729737:0.315221:0.729737:0.315221:0.714864:0.305420:0.714864:0.000000:0.000000
2 – | – 8| < 4:@0.509515:0.729737:0.596024:0.729737:0.596024:0.714838:0.509515:0.714838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.536955:0.729737:0.546756:0.729737:0.546756:0.714864:0.536955:0.714864:0.000000:0.000000
– | – 8| < 4 – 2:@0.521242:0.746334:0.619796:0.746334:0.619796:0.731435:0.521242:0.731435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.536838:0.746334:0.546638:0.746334:0.546638:0.731460:0.536838:0.731460:0.000000:0.000000
| – 8| > – 2:@0.532968:0.762930:0.607634:0.762930:0.607634:0.748031:0.532968:0.748031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.536520:0.762930:0.546320:0.762930:0.546320:0.748056:0.536520:0.748056:0.000000:0.000000
| – 6| ≤ 0:@0.678094:0.746334:0.740715:0.746334:0.740715:0.731435:0.678094:0.731435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.681646:0.746334:0.691446:0.746334:0.691446:0.731460:0.681646:0.731460:0.000000:0.000000
En toda inecuación con valor :@0.293694:0.786618:0.490920:0.786618:0.490920:0.771719:0.293694:0.771719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
absoluto: :@0.293694:0.801705:0.358725:0.801705:0.358725:0.786806:0.293694:0.786806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
| | ≤    o  | | ≥  , siempre   ≥ 0,:@0.293694:0.816793:0.491674:0.816793:0.491674:0.801894:0.293694:0.801894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.297078:0.816793:0.303863:0.816793:0.303863:0.801919:0.297078:0.801919:0.000000
a:@0.323898:0.816793:0.332325:0.816793:0.332325:0.801919:0.323898:0.801919:0.000000
x:@0.358291:0.816793:0.365076:0.816793:0.365076:0.801919:0.358291:0.801919:0.000000
a:@0.385112:0.816793:0.393538:0.816793:0.393538:0.801919:0.385112:0.801919:0.000000
a:@0.455673:0.816793:0.464099:0.816793:0.464099:0.801919:0.455673:0.801919:0.000000
es decir,   siempre es positivo. que –2.:@0.293694:0.831881:0.558750:0.831881:0.558750:0.816982:0.293694:0.816982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.350717:0.831881:0.359144:0.831881:0.359144:0.817007:0.350717:0.817007:0.000000
Por definición de valor :@0.509515:0.786618:0.662531:0.786618:0.662531:0.771719:0.509515:0.771719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.556304:0.786618:0.559973:0.786618:0.559973:0.771719:0.556304:0.771719:0.000000
absoluto |  – 8| ≥ 0, :@0.509515:0.801705:0.641489:0.801705:0.641489:0.786806:0.509515:0.786806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.575183:0.801705:0.581967:0.801705:0.581967:0.786832:0.575183:0.786832:0.000000
por lo tanto mayor :@0.509515:0.816793:0.637837:0.816793:0.637837:0.801894:0.509515:0.801894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por definición de valor absoluto :@0.678094:0.794162:0.893225:0.794162:0.893225:0.779263:0.678094:0.779263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.724884:0.794162:0.728553:0.794162:0.728553:0.779263:0.724884:0.779263:0.000000
|  – 6| ≥ 0, es decir, es cero o una :@0.678094:0.809249:0.897681:0.809249:0.897681:0.794350:0.678094:0.794350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.681646:0.809249:0.688431:0.809249:0.688431:0.794375:0.681646:0.794375:0.000000
cantidad positiva.:@0.678094:0.824337:0.795009:0.824337:0.795009:0.809438:0.678094:0.809438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En este caso la inecuación no  La solución en este :@0.293694:0.855568:0.640450:0.855568:0.640450:0.840669:0.293694:0.840669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se cumple para ningún valor :@0.293694:0.870656:0.487854:0.870656:0.487854:0.855757:0.293694:0.855757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de  .:@0.293694:0.885743:0.324300:0.885743:0.324300:0.870844:0.293694:0.870844:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.314601:0.885743:0.321386:0.885743:0.321386:0.870870:0.314601:0.870870:0.000000
Solución: el conjunto vacío Ø.:@0.293694:0.900831:0.490565:0.900831:0.490565:0.885932:0.293694:0.885932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
caso son todos los :@0.509515:0.870656:0.635542:0.870656:0.635542:0.855757:0.509515:0.855757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números reales  .:@0.509515:0.885743:0.629914:0.885743:0.629914:0.870844:0.509515:0.870844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.614904:0.886271:0.627000:0.886271:0.627000:0.870266:0.614904:0.870266:0.000000
El único valor que satisface la :@0.678094:0.855568:0.875387:0.855568:0.875387:0.840669:0.678094:0.840669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inecuación es cuando |  – 6| = 0, :@0.678094:0.870656:0.897752:0.870656:0.897752:0.855757:0.678094:0.855757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.831446:0.870656:0.838230:0.870656:0.838230:0.855782:0.831446:0.855782:0.000000
esto sucede cuando   = 6:@0.678094:0.885743:0.848701:0.885743:0.848701:0.870844:0.678094:0.870844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.816419:0.885743:0.823204:0.885743:0.823204:0.870870:0.816419:0.870870:0.000000
La solución en este caso es un :@0.678094:0.900831:0.882522:0.900831:0.882522:0.885932:0.678094:0.885932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto   = 6.:@0.678094:0.915919:0.758070:0.915919:0.758070:0.901020:0.678094:0.901020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.722873:0.915919:0.729658:0.915919:0.729658:0.901045:0.722873:0.901045:0.000000
Para comprender mejor :@0.086115:0.695124:0.247859:0.695124:0.247859:0.680225:0.086115:0.680225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la resolución de las :@0.118028:0.710212:0.247859:0.710212:0.247859:0.695313:0.118028:0.695313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones e inecuaciones, :@0.067034:0.725299:0.247859:0.725299:0.247859:0.710400:0.067034:0.710400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es preciso recordar las :@0.097456:0.740387:0.247858:0.740387:0.247858:0.725488:0.097456:0.725488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedades de orden de :@0.074824:0.755474:0.247858:0.755474:0.247858:0.740575:0.074824:0.740575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los números reales, los :@0.094977:0.770562:0.247858:0.770562:0.247858:0.755663:0.094977:0.755663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intervalos y las :@0.147060:0.785650:0.247859:0.785650:0.247859:0.770751:0.147060:0.770751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedades del valor :@0.099483:0.800737:0.247859:0.800737:0.247859:0.785838:0.099483:0.785838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
absoluto.:@0.183128:0.815825:0.244190:0.815825:0.244190:0.800926:0.183128:0.800926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribe en el cuaderno :@0.103738:0.834471:0.247206:0.834471:0.247206:0.819597:0.103738:0.819597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un ejemplo de ecuación :@0.093084:0.849558:0.247206:0.849558:0.247206:0.834684:0.093084:0.834684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y otro de inecuación :@0.116018:0.864646:0.247206:0.864646:0.247206:0.849772:0.116018:0.849772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de primer grado. Luego, :@0.095211:0.879734:0.247204:0.879734:0.247204:0.864860:0.095211:0.864860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
identifica sus elementos :@0.093620:0.894821:0.247203:0.894821:0.247203:0.879947:0.093620:0.879947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y resuélvelas.:@0.163260:0.909909:0.244189:0.909909:0.244189:0.895035:0.163260:0.895035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.115206:0.662677:0.222747:0.662677:0.222747:0.645776:0.115206:0.645776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Planta de alimentos:@0.132353:0.384333:0.250692:0.384333:0.250692:0.370924:0.132353:0.370924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000