Question

nos exercícios a seguir, ache o conjunto solucao da desigualdade dada 1/x+1 ≥ 3/x-2

Answer 1

$\frac{1}{x+1} \geq \frac{3}{x-2}$

$\frac{1 (x - 2) \geq 3 (x+1)}{(x+1) (x-2)}$

$x - 2 \geq 3(x+1)$
$x - 3x \geq 3+2$
$-2x \geq 5 (*-1)$
$2x \leq - 5$
$x \leq - \frac{5}{2}$

$S = { xER / x \leq - \frac{5}{2}$