2024 DHS Promo Q2

2024 DHS Promo Q2

4 marks

Promo

By expressing \(\frac{3{{x}^{2}}+2x-12}{x-1}-\left( x+2 \right)\) as a single simplified fraction, solve the inequality

\(\frac{3{{x}^{2}}+2x-12}{x-1}\ge x+2\),[4]

without using a calculator.

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Answer:\(-5/2 \leq x < 1\) or \(x \geq 2\)

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