Question

Solve the inequalities:

$-12<4-\frac{3x}{-5}\le 2$

Answer 1

We have $-12<4-\frac{3x}{-5}\le 2$

$\Rightarrow -16<\frac{-3x}{-5}\le -2\Rightarrow -16<\frac{3x}{5}\le -2$

$\Rightarrow -80<3x\le -10\Rightarrow \frac{-80}{3}<x\le \frac{-10}{3}$