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2026 RVHS P1 Q2

2026 RVHS P1 Q2

Junior College 2
6 marks
  1. Solve the inequality \(\left|e^x-2\right|>\frac1{x^2-1}\) using a graphical approach.[3]
  2. Without the use of a graphing calculator, solve the inequality \(\frac{x+2}{x-1}\geq\frac2{x-3}\).[3]

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Answer:(a) \(x<-1.26\), \(-1<x<1\), or \(x>1.28\) (3 s.f. boundary values) (b) \(x\leq-1\), \(1<x<3\), or \(x\geq4\)

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