2022 TJC Promo Q2

2022 TJC Promo Q2

5 marks

Promo

Solve the inequality \(\frac{x-2k}{{{x}^{2}}-k}\le 0\) in terms of \(k\) given that

\(k\) is a real constant greater than \(1\).[3]
\(k\) is a negative real constant.[2]

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Answer:(i) \(x < -\sqrt{k}\) or \(\sqrt{k} < x\le 2k\) (ii) \(x\le 2k\)

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