2025 RVHS P1 Q2

Without using a calculator, solve the inequality \(\frac{9}{1-x^2} < \frac{x+5}{x+1}\).[3]

Hence solve \(\frac{9}{1-\mathrm{e}^{2x}} < \frac{\mathrm{e}^x+5}{\mathrm{e}^x+1}\).[3]