46:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000 Números reales:@0.073089:0.043661:0.211864:0.043661:0.211864:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Por ejemplo::@0.293660:0.136836:0.384787:0.136836:0.384787:0.120402:0.293660:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 |5| :@0.532715:0.160620:0.553313:0.160620:0.553313:0.144186:0.532715:0.144186:0.000000:0.000000:0.000000:0.000000 5 :@0.553202:0.160065:0.573045:0.160065:0.573045:0.146350:0.553202:0.146350:0.000000:0.000000 5, porque 5 :@0.572953:0.160620:0.659258:0.160620:0.659258:0.144186:0.572953:0.144186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 . :@0.659099:0.160065:0.678942:0.160065:0.678942:0.146350:0.659099:0.146350:0.000000:0.000000 0:@0.678850:0.160620:0.687833:0.160620:0.687833:0.144186:0.678850:0.144186:0.000000 | 3| :@0.487599:0.184404:0.523438:0.184404:0.523438:0.167970:0.487599:0.167970:0.000000:0.000000:0.000000:0.000000:0.000000 2 52 2 5:@0.491428:0.183849:0.602902:0.183849:0.602902:0.170134:0.491428:0.170134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( 3) 3, porque 3 :@0.553828:0.184404:0.704289:0.184404:0.704289:0.167970:0.553828:0.167970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 , :@0.676108:0.183849:0.724040:0.183849:0.724040:0.170134:0.676108:0.170134:0.000000:0.000000:0.000000:0.000000 0:@0.723948:0.184404:0.732931:0.184404:0.732931:0.167970:0.723948:0.167970:0.000000 |:@0.437550:0.208188:0.441452:0.208188:0.441452:0.191754:0.437550:0.191754:0.000000 p2 5 2 p2 5 2p 1 :@0.441378:0.207633:0.640784:0.207633:0.640784:0.193918:0.441378:0.193918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4| (:@0.468805:0.208188:0.524800:0.208188:0.524800:0.191754:0.468805:0.191754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4) :@0.552153:0.208188:0.589078:0.208188:0.589078:0.191754:0.552153:0.191754:0.000000:0.000000:0.000000:0.000000:0.000000 4, porque :@0.640692:0.208188:0.714130:0.208188:0.714130:0.191754:0.640692:0.191754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p2 , :@0.713990:0.207633:0.774108:0.207633:0.774108:0.193918:0.713990:0.193918:0.000000:0.000000:0.000000:0.000000:0.000000 4 :@0.741417:0.208188:0.754357:0.208188:0.754357:0.191754:0.741417:0.191754:0.000000:0.000000 0:@0.774016:0.208188:0.782999:0.208188:0.782999:0.191754:0.774016:0.191754:0.000000 Propiedades del valor absoluto::@0.293660:0.231972:0.520581:0.231972:0.520581:0.215538:0.293660:0.215538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si | | , entonces o a:@0.483568:0.255756:0.736980:0.255756:0.736980:0.239322:0.483568:0.239322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.503558:0.255756:0.511013:0.255756:0.511013:0.239350:0.503558:0.239350:0.000000 5:@0.518707:0.255201:0.534040:0.255201:0.534040:0.241486:0.518707:0.241486:0.000000 a:@0.537906:0.255756:0.547165:0.255756:0.547165:0.239350:0.537906:0.239350:0.000000 x:@0.625506:0.255756:0.632961:0.255756:0.632961:0.239350:0.625506:0.239350:0.000000 5:@0.636845:0.255201:0.652178:0.255201:0.652178:0.241486:0.636845:0.241486:0.000000 a x:@0.656044:0.255756:0.690300:0.255756:0.690300:0.239350:0.656044:0.239350:0.000000:0.000000:0.000000 5 2:@0.694184:0.255201:0.728716:0.255201:0.728716:0.241486:0.694184:0.241486:0.000000:0.000000:0.000000 Si | | :@0.494060:0.279540:0.529291:0.279540:0.529291:0.263106:0.494060:0.263106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.514050:0.279540:0.521505:0.279540:0.521505:0.263134:0.514050:0.263134:0.000000 , :@0.529199:0.278985:0.549042:0.278985:0.549042:0.265270:0.529199:0.265270:0.000000:0.000000 a:@0.548950:0.279540:0.558209:0.279540:0.558209:0.263134:0.548950:0.263134:0.000000 , entonces :@0.558136:0.279540:0.688164:0.279540:0.688164:0.263106:0.558136:0.263106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 , ,:@0.636550:0.278985:0.714063:0.278985:0.714063:0.265270:0.636550:0.265270:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.655749:0.279540:0.665008:0.279540:0.665008:0.263134:0.655749:0.263134:0.000000 x a:@0.688091:0.279540:0.726470:0.279540:0.726470:0.263134:0.688091:0.263134:0.000000:0.000000:0.000000:0.000000:0.000000 Si | | , entonces o :@0.483108:0.303324:0.712996:0.303324:0.712996:0.286890:0.483108:0.286890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.503098:0.303324:0.510553:0.303324:0.510553:0.286918:0.503098:0.286918:0.000000 .:@0.518247:0.302769:0.533580:0.302769:0.533580:0.289054:0.518247:0.289054:0.000000 a:@0.537446:0.303324:0.546705:0.303324:0.546705:0.286918:0.537446:0.286918:0.000000 x:@0.625046:0.303324:0.632501:0.303324:0.632501:0.286918:0.625046:0.286918:0.000000 .:@0.636385:0.302769:0.651718:0.302769:0.651718:0.289054:0.636385:0.289054:0.000000 a x:@0.655584:0.303324:0.689839:0.303324:0.689839:0.286918:0.655584:0.286918:0.000000:0.000000:0.000000 , 2:@0.693723:0.302769:0.728255:0.302769:0.728255:0.289054:0.693723:0.289054:0.000000:0.000000:0.000000 a:@0.728163:0.303324:0.737422:0.303324:0.737422:0.286918:0.728163:0.286918:0.000000 Ejemplo 20:@0.293642:0.329257:0.378794:0.329257:0.378794:0.312588:0.293642:0.312588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 . Resuelve la ecuación::@0.378683:0.329257:0.539697:0.329257:0.539697:0.312824:0.378683:0.312824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 |2:@0.570174:0.355191:0.582985:0.355191:0.582985:0.338757:0.570174:0.338757:0.000000:0.000000 x:@0.582893:0.355191:0.590348:0.355191:0.590348:0.338785:0.582893:0.338785:0.000000 2 5:@0.590275:0.354636:0.637526:0.354636:0.637526:0.340921:0.590275:0.340921:0.000000:0.000000:0.000000 3| 5 :@0.605516:0.355191:0.654405:0.355191:0.654405:0.338757:0.605516:0.338757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Solución. :@0.293642:0.381124:0.367341:0.381124:0.367341:0.364455:0.293642:0.364455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 De acuerdo con la propiedad, tenemos dos opciones de respuesta::@0.367234:0.381124:0.851884:0.381124:0.851884:0.364691:0.367234:0.364691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 3 5 o 2 3 5:@0.515412:0.407058:0.705173:0.407058:0.705173:0.390624:0.515412:0.390624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.524321:0.407058:0.531776:0.407058:0.531776:0.390652:0.524321:0.390652:0.000000 2 5:@0.535660:0.406503:0.583041:0.406503:0.583041:0.392788:0.535660:0.392788:0.000000:0.000000:0.000000 x:@0.622322:0.407058:0.629777:0.407058:0.629777:0.390652:0.622322:0.390652:0.000000 2 5 2:@0.633661:0.406503:0.696282:0.406503:0.696282:0.392788:0.633661:0.392788:0.000000:0.000000:0.000000:0.000000:0.000000 En la primera: 2 3 5:@0.293679:0.432992:0.472339:0.432992:0.472339:0.416558:0.293679:0.416558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.404729:0.432992:0.412184:0.432992:0.412184:0.416585:0.404729:0.416585:0.000000 2 5:@0.416068:0.432437:0.459491:0.432437:0.459491:0.418721:0.416068:0.418721:0.000000:0.000000:0.000000 Sumando 3 a lado y lado de la ecuación, obtenemos::@0.293679:0.458925:0.676912:0.458925:0.676912:0.442491:0.293679:0.442491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.543962:0.484859:0.552945:0.484859:0.552945:0.468425:0.543962:0.468425:0.000000 x:@0.552871:0.484859:0.560326:0.484859:0.560326:0.468453:0.552871:0.468453:0.000000 2 1 5 1:@0.560252:0.484304:0.663812:0.484304:0.663812:0.470588:0.560252:0.470588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3 3 5 3:@0.575494:0.484859:0.676660:0.484859:0.676660:0.468425:0.575494:0.468425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 8:@0.586096:0.510792:0.634501:0.510831:0.634501:0.494397:0.586096:0.494358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.594980:0.510831:0.602435:0.510831:0.602435:0.494425:0.594980:0.494425:0.000000 5:@0.606319:0.510276:0.621652:0.510276:0.621652:0.496561:0.606319:0.496561:0.000000 Luego:@0.293660:0.536765:0.339726:0.536765:0.339726:0.520331:0.293660:0.520331:0.000000:0.000000:0.000000:0.000000:0.000000 x=4:@0.594895:0.536765:0.622598:0.536765:0.622598:0.520331:0.594895:0.520331:0.000000:0.000000:0.000000 En la segunda: 2 3 5:@0.293660:0.562698:0.497981:0.562698:0.497981:0.546264:0.293660:0.546264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.411172:0.562698:0.418627:0.562698:0.418627:0.546292:0.411172:0.546292:0.000000 2 5 2:@0.422511:0.562144:0.489090:0.562144:0.489090:0.548428:0.422511:0.548428:0.000000:0.000000:0.000000:0.000000:0.000000 Sumando 3 a lado y lado de la ecuación, obtenemos::@0.293679:0.588632:0.676912:0.588632:0.676912:0.572198:0.293679:0.572198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2x-3+3=-5+3:@0.562443:0.612416:0.658245:0.612416:0.658245:0.595982:0.562443:0.595982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2x 2:@0.578273:0.636200:0.642367:0.636200:0.642367:0.619766:0.578273:0.619766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 2:@0.598944:0.635645:0.633476:0.635645:0.633476:0.621929:0.598944:0.621929:0.000000:0.000000:0.000000 Luego:@0.293660:0.660000:0.339800:0.660000:0.339800:0.643566:0.293660:0.643566:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.583740:0.660000:0.591563:0.660000:0.591563:0.643566:0.583740:0.643566:0.000000 5 2:@0.595499:0.659445:0.630583:0.659445:0.630583:0.645730:0.595499:0.645730:0.000000:0.000000:0.000000 1:@0.630491:0.660000:0.639474:0.660000:0.639474:0.643566:0.630491:0.643566:0.000000 Ejemplo 21.:@0.293657:0.685934:0.382545:0.685934:0.382545:0.669264:0.293657:0.669264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Resuelve la desigualdad::@0.382417:0.685934:0.563179:0.685934:0.563179:0.669500:0.382417:0.669500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 |3 4| 11:@0.561777:0.711867:0.658783:0.711867:0.658783:0.695433:0.561777:0.695433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.574496:0.711867:0.581951:0.711867:0.581951:0.695461:0.574496:0.695461:0.000000 2:@0.585835:0.711312:0.601168:0.711312:0.601168:0.697597:0.585835:0.697597:0.000000 ,:@0.621692:0.711312:0.637026:0.711312:0.637026:0.697597:0.621692:0.697597:0.000000 Solución. :@0.293638:0.737801:0.367337:0.737801:0.367337:0.721131:0.293638:0.721131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 De acuerdo con la propiedad, tenemos que 11 3x 4 11:@0.367231:0.737801:0.824798:0.737801:0.824798:0.721367:0.367231:0.721367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 ,:@0.686725:0.737246:0.735100:0.737246:0.735100:0.723530:0.686725:0.723530:0.000000:0.000000:0.000000 2 ,:@0.759618:0.737246:0.803041:0.737246:0.803041:0.723530:0.759618:0.723530:0.000000:0.000000:0.000000 Sumando 4 en cada lado de la desigualdad, tenemos: 11 4 3 4 4 11 4:@0.293620:0.763734:0.922246:0.763734:0.922246:0.747300:0.293620:0.747300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.684516:0.763179:0.699850:0.763179:0.699850:0.749464:0.684516:0.749464:0.000000 1 ,:@0.721515:0.763179:0.768895:0.763179:0.768895:0.749464:0.721515:0.749464:0.000000:0.000000:0.000000 x:@0.781651:0.763734:0.789106:0.763734:0.789106:0.747328:0.781651:0.747328:0.000000 2 1 ,:@0.792990:0.763179:0.868460:0.763179:0.868460:0.749464:0.792990:0.749464:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.894065:0.763179:0.909398:0.763179:0.909398:0.749464:0.894065:0.749464:0.000000 Resolviendo, obtenemos: 7 3 15:@0.293620:0.789668:0.585062:0.789668:0.585062:0.773234:0.293620:0.773234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 ,:@0.480454:0.789113:0.523876:0.789113:0.523876:0.775397:0.480454:0.775397:0.000000:0.000000:0.000000 x:@0.536633:0.789668:0.544087:0.789668:0.544087:0.773262:0.536633:0.773262:0.000000 ,:@0.547971:0.789113:0.563305:0.789113:0.563305:0.775397:0.547971:0.775397:0.000000 Dividiendo entre 3, en cada lado de la desigualdad, obtenemos: :@0.293620:0.820025:0.758825:0.820025:0.758825:0.803591:0.293620:0.803591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.760938:0.813367:0.776272:0.813367:0.776272:0.799651:0.760938:0.799651:0.000000 7:@0.776180:0.813922:0.785162:0.813922:0.785162:0.797488:0.776180:0.797488:0.000000 3:@0.768559:0.827901:0.777542:0.827901:0.777542:0.811467:0.768559:0.811467:0.000000 :@0.787647:0.820038:0.791678:0.820038:0.791678:0.803604:0.787647:0.803604:0.000000 , :@0.791605:0.819483:0.811448:0.819483:0.811448:0.805767:0.791605:0.805767:0.000000:0.000000 3:@0.814605:0.813922:0.823588:0.813922:0.823588:0.797488:0.814605:0.797488:0.000000 x:@0.823515:0.813922:0.830970:0.813922:0.830970:0.797516:0.823515:0.797516:0.000000 3:@0.818305:0.827901:0.827288:0.827901:0.827288:0.811467:0.818305:0.811467:0.000000 :@0.834154:0.820038:0.857384:0.820038:0.857384:0.803604:0.834154:0.803604:0.000000:0.000000:0.000000 ,:@0.838112:0.819483:0.853445:0.819483:0.853445:0.805767:0.838112:0.805767:0.000000 15:@0.860120:0.813922:0.878012:0.813922:0.878012:0.797488:0.860120:0.797488:0.000000:0.000000 3:@0.864574:0.827901:0.873557:0.827901:0.873557:0.811467:0.864574:0.811467:0.000000 Simplificando, obtenemos: :@0.293655:0.850395:0.491205:0.850395:0.491205:0.833961:0.293655:0.833961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.493538:0.843730:0.508871:0.843730:0.508871:0.830014:0.493538:0.830014:0.000000 7:@0.508779:0.844284:0.517762:0.844284:0.517762:0.827851:0.508779:0.827851:0.000000 3:@0.501158:0.858264:0.510141:0.858264:0.510141:0.841830:0.501158:0.841830:0.000000 5:@0.520247:0.850400:0.582923:0.850400:0.582923:0.833966:0.520247:0.833966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , ,:@0.524204:0.849846:0.570075:0.849846:0.570075:0.836130:0.524204:0.836130:0.000000:0.000000:0.000000 x:@0.543403:0.850400:0.550858:0.850400:0.550858:0.833994:0.543403:0.833994:0.000000 Luego, la respuesta a la desigualdad son los números que están en el intervalo :@0.293672:0.879260:0.864584:0.879260:0.864584:0.862826:0.293672:0.862826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.869409:0.872592:0.884742:0.872592:0.884742:0.858876:0.869409:0.858876:0.000000 7:@0.884650:0.873147:0.893633:0.873147:0.893633:0.856713:0.884650:0.856713:0.000000 3:@0.877030:0.887126:0.886012:0.887126:0.886012:0.870692:0.877030:0.870692:0.000000 , 5:@0.896118:0.879262:0.912187:0.879262:0.912187:0.862829:0.896118:0.862829:0.000000:0.000000:0.000000 :@0.293660:0.933408:0.297562:0.933408:0.297562:0.916739:0.293660:0.916739:0.000000 2:@0.476978:0.926744:0.492311:0.926744:0.492311:0.913028:0.476978:0.913028:0.000000 7:@0.492219:0.927299:0.501202:0.927299:0.501202:0.910865:0.492219:0.910865:0.000000 3:@0.484599:0.941278:0.493581:0.941278:0.493581:0.924844:0.484599:0.924844:0.000000 5:@0.715369:0.933408:0.724351:0.933408:0.724351:0.916975:0.715369:0.916975:0.000000 Si hay algo tradicional :@0.078581:0.180106:0.226284:0.180106:0.226284:0.165166:0.078581:0.165166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en la Feria de Manizales, :@0.078581:0.195235:0.240341:0.195235:0.240341:0.180295:0.078581:0.180295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tan emblemático como :@0.078581:0.210364:0.238071:0.210364:0.238071:0.195424:0.078581:0.195424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el Reinado Internacional :@0.078581:0.225493:0.241927:0.225493:0.241927:0.210553:0.078581:0.210553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 del Café, son los carritos :@0.078581:0.240622:0.239705:0.240622:0.239705:0.225682:0.078581:0.225682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de balineras. Estos, :@0.078581:0.255751:0.204952:0.255751:0.204952:0.240811:0.078581:0.240811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 construidos con una :@0.078581:0.270880:0.217472:0.270880:0.217472:0.255940:0.078581:0.255940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 estructura de madera, :@0.078581:0.286009:0.227005:0.286009:0.227005:0.271069:0.078581:0.271069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 emplean un pedazo :@0.078581:0.301138:0.215206:0.301138:0.215206:0.286198:0.078581:0.286198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de llanta de caucho :@0.078581:0.316267:0.212184:0.316267:0.212184:0.301327:0.078581:0.301327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 como freno, una cuerda :@0.078581:0.331396:0.239895:0.331396:0.239895:0.316456:0.078581:0.316456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 amarrada al eje delantero :@0.078581:0.346525:0.249934:0.346525:0.249934:0.331585:0.078581:0.331585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 como timón y llantas de :@0.078581:0.361654:0.241903:0.361654:0.241903:0.346714:0.078581:0.346714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 balineras, como su nombre :@0.078581:0.376782:0.261870:0.376782:0.261870:0.361843:0.078581:0.361843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lo indica. Con más de 50 :@0.078581:0.391911:0.242919:0.391911:0.242919:0.376972:0.078581:0.376972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 años de historia, se celebra :@0.078581:0.407040:0.259126:0.407040:0.259126:0.392101:0.078581:0.392101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cuando los competidores :@0.078581:0.422169:0.250916:0.422169:0.250916:0.407229:0.078581:0.407229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 recorren las empinadas :@0.078581:0.437298:0.235725:0.437298:0.235725:0.422358:0.078581:0.422358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 calles de la ciudad con sus :@0.078581:0.452427:0.256060:0.452427:0.256060:0.437487:0.078581:0.437487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ingeniosos carritos.:@0.078581:0.467556:0.204997:0.467556:0.204997:0.452616:0.078581:0.452616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Interculturalidad:@0.082813:0.150450:0.214162:0.150450:0.214162:0.133503:0.082813:0.133503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 DBA 3 (Ev. 3) Usa el conjunto solución de una relación (de equivalencia y de orden) para argumentar la validez o no de un procedimiento.:@0.203060:0.969052:0.925545:0.969052:0.925545:0.957100:0.203060:0.957100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000