2025 NYJC Promo Q2

2025 NYJC Promo Q2

Junior College 1
6 marks
  1. Using an algebraic method, solve the inequality \(\frac{5x+1}{x+2} \geq \frac{4}{3-x}\).[4]
  2. Hence, solve exactly \(\frac{5e^x+1}{e^x+2} \geq \frac{4}{3-e^x}\).[2]

Solution:

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Answer:(a) \(x<-2\), \(x=1\) or \(x>3\) (b) \(x=0\) or \(x>\ln3\)

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