Solve the inequality $e\left| x-3 \right|-\left| x \right|\ge 0$, giving your answer in exact form

Question

Solve the inequality $e\left| x-3 \right|-\left| x \right|\ge 0$, giving your answer in exact form.

Accepted Answer

$\left\{ x\in \mathbb{R}:x\le \frac{3e}{e+1},x\ge \frac{3e}{e-1} \right\}$

Inequalities