46:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000 Números naturales:@0.073089:0.043661:0.242487:0.043661:0.242487:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. Escribe verdadero (V) o falso (F) según corresponda en cada caso.:@0.073089:0.136836:0.596521:0.136836:0.596521:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. Si 4 8 0, entonces, 5 :@0.104633:0.171347:0.349906:0.171347:0.349906:0.154913:0.104633:0.154913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.159905:0.171347:0.169403:0.171347:0.169403:0.154941:0.159905:0.154941:0.000000 2 5:@0.171566:0.170792:0.215483:0.170792:0.215483:0.157076:0.171566:0.157076:0.000000:0.000000:0.000000 n:@0.307845:0.171347:0.317344:0.171347:0.317344:0.154941:0.307845:0.154941:0.000000 5:@0.319497:0.170792:0.334830:0.170792:0.334830:0.157076:0.319497:0.157076:0.000000 _____:@0.349811:0.171347:0.395534:0.171347:0.395534:0.154913:0.349811:0.154913:0.000000:0.000000:0.000000:0.000000:0.000000 b. Si 5 9 29, entonces, 4 :@0.104633:0.205858:0.354759:0.205858:0.354759:0.189424:0.104633:0.189424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.159905:0.205858:0.167378:0.205858:0.167378:0.189452:0.159905:0.189452:0.000000 1 5:@0.169542:0.205304:0.213458:0.205304:0.213458:0.191588:0.169542:0.191588:0.000000:0.000000:0.000000 y:@0.314723:0.205858:0.322196:0.205858:0.322196:0.189452:0.314723:0.189452:0.000000 5:@0.324350:0.205304:0.339683:0.205304:0.339683:0.191588:0.324350:0.191588:0.000000 _____:@0.354663:0.205858:0.400387:0.205858:0.400387:0.189424:0.354663:0.189424:0.000000:0.000000:0.000000:0.000000:0.000000 c. Si 16 50 110, entonces, 10 :@0.104633:0.240369:0.390337:0.240369:0.390337:0.223935:0.104633:0.223935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.168814:0.240369:0.176269:0.240369:0.176269:0.223963:0.168814:0.223963:0.000000 2:@0.178426:0.239814:0.193759:0.239814:0.193759:0.226098:0.178426:0.226098:0.000000 5:@0.215911:0.239814:0.231244:0.239814:0.231244:0.226098:0.215911:0.226098:0.000000 x:@0.341410:0.240369:0.348865:0.240369:0.348865:0.223963:0.341410:0.223963:0.000000 5:@0.351019:0.239814:0.366352:0.239814:0.366352:0.226098:0.351019:0.226098:0.000000 _____:@0.390236:0.240369:0.435960:0.240369:0.435960:0.223935:0.390236:0.223935:0.000000:0.000000:0.000000:0.000000:0.000000 d. Si 43 7 4 , entonces, 5 :@0.104633:0.274879:0.354722:0.274879:0.354722:0.258445:0.104633:0.258445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 1:@0.171036:0.274324:0.214954:0.274324:0.214954:0.260609:0.171036:0.260609:0.000000:0.000000:0.000000 x:@0.225983:0.274879:0.233438:0.274879:0.233438:0.258473:0.225983:0.258473:0.000000 x:@0.314688:0.274879:0.322143:0.274879:0.322143:0.258473:0.314688:0.258473:0.000000 5:@0.324313:0.274324:0.339646:0.274324:0.339646:0.260609:0.324313:0.260609:0.000000 _____:@0.354627:0.274879:0.400350:0.274879:0.400350:0.258445:0.354627:0.258445:0.000000:0.000000:0.000000:0.000000:0.000000 2. Encuentra la solución de la ecuación 10x:@0.073089:0.309389:0.413857:0.309389:0.413857:0.292720:0.073089:0.292720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.413823:0.309389:0.474262:0.309389:0.474262:0.292956:0.413823:0.292956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.416219:0.308835:0.431552:0.308835:0.431552:0.295119:0.416219:0.295119:0.000000 70:@0.433873:0.309389:0.452667:0.309389:0.452667:0.292720:0.433873:0.292720:0.000000:0.000000 5:@0.454973:0.308835:0.470306:0.308835:0.470306:0.295119:0.454973:0.295119:0.000000 60. Utiliza la tabla dada para escribir los pasos seguidos y la :@0.472629:0.309389:0.930714:0.309389:0.930714:0.292720:0.472629:0.292720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 justificación de cada uno de ellos. Ayuda: aplica las propiedades de la igualdad y no olvides hacer al final la :@0.103214:0.326031:0.930870:0.326031:0.930870:0.309362:0.103214:0.309362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 verificación de la solución. :@0.103214:0.342673:0.301213:0.342673:0.301213:0.326003:0.103214:0.326003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Pasos:@0.316870:0.381873:0.357498:0.381873:0.357498:0.366467:0.316870:0.366467:0.000000:0.000000:0.000000:0.000000:0.000000 Justificación:@0.589230:0.381873:0.678087:0.381873:0.678087:0.366467:0.589230:0.366467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 10 70 60:@0.287059:0.403311:0.387318:0.403311:0.387318:0.386877:0.287059:0.386877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.304858:0.403311:0.312313:0.403311:0.312313:0.386905:0.304858:0.386905:0.000000 2:@0.314472:0.402756:0.329805:0.402756:0.329805:0.389041:0.314472:0.389041:0.000000 5:@0.351958:0.402756:0.367291:0.402756:0.367291:0.389041:0.351958:0.389041:0.000000 3. Verifica, en cada caso, si la solución indicada para cada ecuación es la correcta o no. Si la respuesta es no, haz :@0.073089:0.520211:0.931307:0.520211:0.931307:0.503542:0.073089:0.503542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el proceso correspondiente para llegar a la solución correcta.:@0.103214:0.536853:0.562091:0.536853:0.562091:0.520183:0.103214:0.520183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. 5 25 90 15 :@0.104633:0.571365:0.267636:0.571365:0.267636:0.554931:0.104633:0.554931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.143743:0.571365:0.151198:0.571365:0.151198:0.554959:0.143743:0.554959:0.000000 1:@0.153345:0.570810:0.168678:0.570810:0.168678:0.557094:0.153345:0.557094:0.000000 5:@0.190832:0.570810:0.206165:0.570810:0.206165:0.557094:0.190832:0.557094:0.000000 2:@0.228318:0.570810:0.243651:0.570810:0.243651:0.557094:0.228318:0.557094:0.000000 :@0.314077:0.571365:0.318108:0.571365:0.318108:0.554931:0.314077:0.554931:0.000000 Solución: 10:@0.374306:0.571365:0.462506:0.571365:0.462506:0.554931:0.374306:0.554931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. 28 4 58 6 :@0.104633:0.605875:0.258727:0.605875:0.258727:0.589441:0.104633:0.589441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.154859:0.605320:0.170193:0.605320:0.170193:0.591605:0.154859:0.591605:0.000000 x:@0.181222:0.605875:0.188677:0.605875:0.188677:0.589469:0.181222:0.589469:0.000000 5:@0.190832:0.605320:0.206165:0.605320:0.206165:0.591605:0.190832:0.591605:0.000000 1:@0.228318:0.605320:0.243651:0.605320:0.243651:0.591605:0.228318:0.591605:0.000000 :@0.314072:0.605875:0.318103:0.605875:0.318103:0.589441:0.314072:0.589441:0.000000 Solución: 7:@0.374306:0.605875:0.453597:0.605875:0.453597:0.589441:0.374306:0.589441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. 6 23 2x 97 :@0.104633:0.640385:0.266538:0.640385:0.266538:0.623952:0.104633:0.623952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.143743:0.640385:0.151198:0.640385:0.151198:0.623979:0.143743:0.623979:0.000000 2 1:@0.153345:0.639831:0.206154:0.639831:0.206154:0.626115:0.153345:0.626115:0.000000:0.000000:0.000000:0.000000 5:@0.227220:0.639831:0.242553:0.639831:0.242553:0.626115:0.227220:0.626115:0.000000 :@0.314076:0.640385:0.318108:0.640385:0.318108:0.623952:0.314076:0.623952:0.000000 Solución: 15:@0.374294:0.640385:0.462494:0.640385:0.462494:0.623952:0.374294:0.623952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d. 67 25 3 75 9 :@0.104633:0.674896:0.318094:0.674896:0.318094:0.658462:0.104633:0.658462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 1:@0.154859:0.674341:0.207666:0.674341:0.207666:0.660625:0.154859:0.660625:0.000000:0.000000:0.000000:0.000000 x:@0.218697:0.674896:0.226152:0.674896:0.226152:0.658490:0.218697:0.658490:0.000000 5:@0.228306:0.674341:0.243639:0.674341:0.243639:0.660625:0.228306:0.660625:0.000000 2 :@0.265792:0.674341:0.285635:0.674341:0.285635:0.660625:0.265792:0.660625:0.000000:0.000000 Solución: 6:@0.374302:0.674896:0.453601:0.674896:0.453601:0.658462:0.374302:0.658462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4. Soluciona la siguientes desigualdades::@0.073089:0.709406:0.393999:0.709406:0.393999:0.692737:0.073089:0.692737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. 25x 45 55:@0.104633:0.743918:0.235522:0.743918:0.235522:0.727484:0.104633:0.727484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.162676:0.743363:0.178009:0.743363:0.178009:0.729647:0.162676:0.729647:0.000000 ,:@0.200161:0.743363:0.215495:0.743363:0.215495:0.729647:0.200161:0.729647:0.000000 b. 26 5x 124:@0.104633:0.778428:0.235528:0.778428:0.235528:0.761994:0.104633:0.761994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.154859:0.777873:0.170193:0.777873:0.170193:0.764158:0.154859:0.764158:0.000000 2:@0.191259:0.777873:0.206592:0.777873:0.206592:0.764158:0.191259:0.764158:0.000000 c. 140 12x 284:@0.104633:0.812938:0.253333:0.812938:0.253333:0.796505:0.104633:0.796505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.163762:0.812384:0.179095:0.812384:0.179095:0.798668:0.163762:0.798668:0.000000 $:@0.209064:0.812384:0.224397:0.812384:0.224397:0.798668:0.209064:0.798668:0.000000 d. 36x 25 119:@0.104633:0.847449:0.244431:0.847449:0.244431:0.831015:0.104633:0.831015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.162676:0.846894:0.178009:0.846894:0.178009:0.833178:0.162676:0.833178:0.000000 #:@0.200161:0.846894:0.215495:0.846894:0.215495:0.833178:0.200161:0.833178:0.000000 e. 3x 15 2x 26:@0.104633:0.881960:0.263019:0.881960:0.263019:0.865527:0.104633:0.865527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.153773:0.881406:0.169107:0.881406:0.169107:0.867690:0.153773:0.867690:0.000000 .:@0.191259:0.881406:0.206592:0.881406:0.206592:0.867690:0.191259:0.867690:0.000000 1:@0.227658:0.881406:0.242992:0.881406:0.242992:0.867690:0.227658:0.867690:0.000000 Evaluación formativa:@0.131433:0.098522:0.446328:0.098522:0.446328:0.067281:0.131433:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 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