2020 JPJC P1 Q1

2020 JPJC P1 Q1

5 marks

Prelims

Solve the inequality \(\frac{9x+2}{x-2}\ge 2\), leaving your answer in exact form.[3]
Hence, solve the inequality \(\frac{9{{\mathrm{e}}^{x}}+2}{2-{{\mathrm{e}}^{x}}}\le -2\).[2]

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Answer:(i) \(x\le -\frac{6}{7}\) or \(x>2\) (ii) \(x>\ln 2\)

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