Question

¿cual es el mayor numero entero "x" que verifica:

5x-1       3x - 13      5x+1
_____ - ______ > _____ ?

4               10            3

Answer 1

solucion

(5x-1)/4 - (3x-13)/10 >( 5x+1)/3
(5(5x-1)-2(3x-13))/20 > (5x+1)/3
(25x-5-6x+26)/20>(5x+1)/3
3(19x+21 ) > 20(5x+1)
57x+63>100x+20
57x-100x>-63+20
-43x>-43
x>-43/-43
x<1

Cs ]-infinito,1[