Without using a calculator, solve the inequality $\frac{9x-8}{x^2+2x-3} \ge 2$.[4] Hence solve the

Question

Without using a calculator, solve the inequality $\frac{9x-8}{x^2+2x-3} \ge 2$.[4] Hence solve the inequality $\frac{9 \ln x-8}{(\ln x)^2 + 2 \ln x - 3} \ge 2$.[2]

Accepted Answer

(a)$-3 < x\leq \frac{1}{2}$ or $1 < x\leq 2$ (b)$e^{-3} < x\leq e^\frac{1}{2}$ or $e < x\leq e^2$

2025 YIJC P1 Q5

2025 YIJC P1 Q5