| Exam Board | AQA |
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| Module | Paper 2 (Paper 2) |
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| Year | 2023 |
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| Session | June |
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| Topic | Inequalities |
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1 The graph of \(y = a x ^ { 2 } + b x + c\) has roots \(x = 2\) and \(x = 5\), as shown in the diagram below.
\includegraphics[max width=\textwidth, alt={}, center]{de8a7d38-a665-4feb-854e-ac83f413d133-02_905_963_717_625}
State the set of values of \(x\) which satisfy
$$a x ^ { 2 } + b x + c > 0$$
Tick ( \(\checkmark\) ) one box.
$$\begin{aligned}
& \{ x : x < 2 \} \cup \{ x : x > 5 \}
& \{ x : 0 < x < 2 \} \cap \{ x : x > 5 \}
& \{ x : 2 < x < 5 \}
& \{ x : 2 > x > 5 \}
\end{aligned}$$
\includegraphics[max width=\textwidth, alt={}, center]{de8a7d38-a665-4feb-854e-ac83f413d133-02_118_115_1950_1087}
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