2017 IJC P1 Q1

2017 IJC P1 Q1

5 marks
Prelims

Without using a graphic calculator, solve the inequality \(\frac{4{{x}^{2}}+7x+1}{3x+1}\le x+2\).[3]

Hence solve the inequality \(\frac{4x+7\sqrt{x}+1}{3\sqrt{x}+1}\le \sqrt{x}+2\).[2]

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Answer:(i) \(x\leq-1\) or \(-\dfrac13<x\leq1\) (ii) \(0\leq x\leq1\)

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