2015 ACJC P1 Q2
2015 ACJC P1 Q2
5 marks
Prelims
Using an algebraic method, solve the inequality \(\frac{x+3}{1-x}\ge \frac{x}{2x+1}\).[3]
Hence solve the inequality \(\frac{3-\left| x \right|}{1+\left| x \right|}\ge \frac{\left| x \right|}{2\left| x \right|-1}\).[2]
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Answer:(i) \(x=-1\) or \(-\frac12<x<1\). (ii) \(x=\pm1\) or \(-\frac12<x<\frac12\).
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