2025 ASRJC P2 Q2

2025 ASRJC P2 Q2

5 marks

Without the use of a graphing calculator, solve the inequality \(\frac{x+4}{x+1} \ge \frac{x+2}{2}\)[3]
Hence solve \(1 + \frac{3}{\mathrm{e}^x + 1} \ge \frac{\mathrm{e}^x + 2}{2}\).[2]

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Answer:(a) \(x\le-3\) or \(-1<x\le2\) (b) \(x\le\ln2\)

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