## Exam-Style Question on Inequalities## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 477. This question is similar to one that appeared on a GCSE Higher paper in 2017. The use of a calculator is allowed.

The diagram below is a sketch of \(y = f(x)\) where \(f(x)\) is a quadratic function.

The graph intersects the x-axis where \(x=-2\) and \(x = 0.5\).

Which of the following is the solution of \(f(x) \le 0\) ?

- (a) \( x \ge -2 \) or \(x \ge 0.5\)
- (b) \( -2 \ge x \ge 0.5\)
- (c) \( x \ge -2 \) and \( x \le 0.5\)
- (d) \( x \le -2 \) and \( x \ge 0.5\)

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