2013 HCI P1 Q1

2013 HCI P1 Q1

3 marks
Prelims

Given that \(a\) is a positive real number, solve the inequality

\(\frac{{{x}^{2}}-x+2}{{{x}^{2}}+\left( 1-a \right)x-a}\le 0\),

leaving your answer in terms of \(a\).[3]

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Answer:\(-1 < x < a\)

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