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2015 NYJC P1 Q1

2015 NYJC P1 Q1

5 marks

Without using a calculator, solve the inequality \(\frac{4x}{{{x}^{2}}-2x-4}>-x\). [5]

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Answer:\( 1 - \sqrt{5} < x < 0 \text{ or}\hspace{0.5em} 0 < x < 2 \text{ or}\hspace{0.5em} x > 1 + \sqrt{5} \)

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