2025 SAJC P2 Q1

2025 SAJC P2 Q1

6 marks

Solve the inequality \(3|x^2-4|\le |x+2|\).[4]
Hence, solve \(\frac{3}{x^2}\left|1-4x^2\right|\le \left|\frac{1+2x}{x}\right|\).[2]

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Answer:(i) \(x = -2\) or \(\dfrac{5}{3} \le x \le \dfrac{7}{3}\) (ii) \(x = -\dfrac{1}{2}\) or \(\dfrac{3}{7} \le x \le \dfrac{3}{5}\)

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