2013 SRJC P1 Q5

2013 SRJC P1 Q5

9 marks

Without using a graphic calculator, find the set of values of \(x\) such that \(\frac{1}{2-x-{{x}^{2}}}\text{}\hspace{0.5em}\le \frac{4}{9}\).[9]

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Answer:\( \left\{x \in \mathbb{R} : x < -2 \text{ or}\hspace{0.5em} x = -\frac{1}{2} \text{ or}\hspace{0.5em} x > 1\right\} \)

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