2025 HCI Promo Q1

2025 HCI Promo Q1

Junior College 1
5 marks

Solve the inequality \(\left|3x-5\right|>\left|x+\frac{1}{3}\right|\).[3]

Hence solve the inequality \(\left|\frac{3-5x}{x}\right|>\left|\frac{3+x}{3x}\right|\).[2]

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Answer:(a) \(x<\dfrac76\) or \(x>\dfrac83\) (b) \(x<\dfrac38\) or \(x>\dfrac67\), \(x\ne0\)

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