Question

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

Answer 1

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

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

$\Rightarrow -12\le \frac{20+3x}{5}\le 2$

$\Rightarrow -60\le 3x+20\le 10$

$\Rightarrow -60-20\le 3x\le 10-20$

$\Rightarrow -80\le 3x\le -10$

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

Hence the solution is $[\frac{-80}{3},\frac{-10}{3}]$