2026 NJC Promo Q1

2026 NJC Promo Q1

Junior College 1
6 marks

Do not use a calculator in answering this question.

  1. Solve the inequality \(\dfrac{x^2-5}{x-3}>1\).[4]
  2. Hence find the solution of \(\dfrac{x-5}{\sqrt{x}-3}>1\).[2]

Solution:

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Answer:(i) \(-1<x<2\) or \(x>3\) (ii) \(0\le x<4\) or \(x>9\)

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