2025 VJC Promo Q1
2025 VJC Promo Q1
Junior College 1
5 marks
Without using a calculator, and showing all your working, solve the inequality \(\frac{1}{x} \ge \frac{1-x}{x^2+4x}.\)
[3]- Hence solve \(\frac{1}{|x|} \ge \frac{1-|x|}{x^2+4|x|}.\)[2]
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Answer:\(-4<x\le-\dfrac32\) or \(x>0\); for part (b), \(x\ne0\)
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