2025 ACJC P1 Q1

2025 ACJC P1 Q1

Junior College 2

Without using a calculator, solve the inequality \(\frac{x}{x+2} \ge \frac{2}{2-x}\).
Hence, solve the inequality \(\frac{|x|}{|x|+2} \ge \frac{2}{2-|x|}\).

Solution:

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Answer:

(a) \(x<-2\) or \(x>2\).

(b) \(x<-2\) or \(x>2\).

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