Without using a calculator, solve the inequality $\frac{x}{x+2} \ge \frac{2}{2-x}$. Hence, solve t

Question

Without using a calculator, solve the inequality $\frac{x}{x+2} \ge \frac{2}{2-x}$. Hence, solve the inequality $\frac{|x|}{|x|+2} \ge \frac{2}{2-|x|}$.

Accepted Answer

(a) ${x 2}$ (b) Replace ${x}$ with ${\left| x \right|}$, ${\left| x \right| 2}$ ${x 2}$

2025 ACJC P1 Q1

2025 ACJC P1 Q1