2022 HCI Promo Q1

2022 HCI Promo Q1

5 marks

Promo

Solve algebraically the inequality \({{x}^{2}}+x>\frac{4x}{3-x}\).[3]
Hence solve the inequality \(x-{{x}^{2}}<\frac{4x}{3+x}\).[2]

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Answer:(i) \(x<0\) or \(x>3\) (ii) \(x>0\) or \(x<-3\)

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