Question

Sendo U= Q, encontre o conjunto solução de cada equação: c)2x – 4 +6x >-3
d) 4x – 5x – 2x <4-10+4+5
e) 2(1+x) –3(x+5)>0

Answer 1

$c)\\2x-4+6x~>~-3\\\\\\8x~>~-3+4\\\\\\8x~>~1\\\\\\\boxed{x~>~\frac{1}{8}}$

$S:~x\in Q~/~ x>\frac{1}{8}$

$d)\\4x-5x-2x~<~4-10+4+5\\\\\\-3x~<~3\\\\\\3x~>~-3\\\\\\x~>~\frac{-3}{3}\\\\\\\boxed{x~>~-1}\\\\\\S:~x\in Q~/~x>-1$

$e)\\2.(1+x)-3.(x+5)~>~0\\\\\\2+2x-3x-15~>~0\\\\\\-x-13~>~0\\\\\\-x~>~13\\\\\\\boxed{x~<~13}$

$S:~x\in Q~/~ x<13$