2022 NYJC Promo Q1
2022 NYJC Promo Q1
6 marks
Promo
- Solve the inequality \(\ln \left( x+1 \right)\le \frac{4}{x}\).[3]
- Hence solve the inequality \(\cos x+1\le {{\mathrm{e}}^{4\sec x}}\) for \(0 < x < \pi \).[3]
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Answer:(i) \(-1 < x\le -0.983\) or \(0 < x\le 2.93\) (\(3\) s.f.) (ii) \(2.96\le x < \pi \) or \(0 < x < \frac{\pi }{2}\)
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