Question

Resolva as inequaçoes, sendo que x um numero racional b)2x/3+1/2<x/4-3/2 obrigado

Answer 1

b)

$\frac{2x}{3} + \frac{1}{2} < \frac{x}{4} - \frac{3}{2} <=> \\ <=> \frac{8x}{12} + \frac{6}{12} < \frac{3x}{12} - \frac{18}{12} <=> \\ <=> 8x + 6 < 3x - 18 <=>  \\ <=> 8x - 3x < -18 - 6 <=>  \\ <=>5x < - 24 <=> \\ <=> x = \frac{-24}{5}$

C.S = ] - INFINITO; -24/5 [