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2026 EJC P1 Q4

2026 EJC P1 Q4

Junior College 2
7 marks
  1. Without using a calculator, solve the inequality \(\frac{11-13x}{4x^2-1}<1\).[4]
  2. Hence solve the inequality \(\frac{11-13x^2}{4x^4-1}<1\), giving your answer in exact form.[3]

Solution:

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Answer:(a) \((-\infty,-4)\cup(-\frac12,\frac12)\cup(\frac34,\infty)\) (b) \((-\infty,-\frac{\sqrt3}{2})\cup(-\frac1{\sqrt2},\frac1{\sqrt2})\cup(\frac{\sqrt3}{2},\infty)\)

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