Solve quadratic inequality

Solve an inequality of the form ax² + bx + c > 0 or ≤ 0 by factorising or finding roots and testing regions.

51 questions · Moderate -0.9

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AQA Further AS Paper 1 2020 June Q3
1 marks Moderate -0.8
3 Given \(( x - 1 ) ( x - 2 ) ( x - a ) < 0\) and \(a > 2\) Find the set of possible values of \(x\).
Tick ( \(\checkmark\) ) one box. $$\begin{aligned} & \{ x : x < 1 \} \cup \{ x : 2 < x < a \} \\ & \{ x : 1 < x < 2 \} \cup \{ x : x > a \} \\ & \{ x : x < - a \} \cup \{ x : - 2 < x < - 1 \} \\ & \{ x : - a < x < - 2 \} \cup \{ x : x > - 1 \} \end{aligned}$$