2024 MI PRU1 P1 Q2

2024 MI PRU1 P1 Q2

6 marks

Without using a calculator, solve the inequality
\[\frac{x^2 - 3x + 2}{x + 4} \ge 2.\][4]
Hence solve the inequality
\[\frac{x^2 + 3x + 2}{4 - x} \ge 2.\][2]

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Answer:(i) \(-4<x\le-1\) or \(x\ge6\) (ii) \(x\le-6\) or \(1\le x<4\)

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