Question

Solve the inequalities: $-3\le 4-\frac{7x}{2}\ge 18$

Answer 1

We have $-3\le 4-\frac{7x}{2}\ge 18$

$\Rightarrow -7\le \frac{-7x}{2}\le 14\Rightarrow -14\le -7x\le 28$

$\Rightarrow 2\ge x\ge -4\Rightarrow -4\le x\le 2$