2014 RI Promo Q4

2014 RI Promo Q4

6 marks

Promo

Without using a calculator, solve the inequality

\(\frac{\left( x-1 \right)\left( x+4 \right)}{{{x}^{2}}+4}\ge x-1\).[3]

Hence solve the inequality

\(\frac{\left( \sqrt{x}-1 \right)\left( \sqrt{x}+4 \right)}{x+4}\ge \sqrt{x}-1\).[3]

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Answer:\(x\leq0\) or \(x=1\) Hence: \(x=0\) or \(x=1\)

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