Exam-Style Question on Inequalities
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 664. This question is similar to one that appeared on a GCSE Higher paper in 2020. The use of a calculator is allowed.
A region on a coordinate grid is described by the following three inequalities:$$-8 \le x \le 6$$ $$2y \ge x + 1$$ $$2y+x \le 12$$
(a) By shading the unwanted regions show the region on the grid below.
(b) Mr Mushnik says that the point with coordinates (-8, 10) does not satisfy all the inequalities because it does not lie in the region. Is Mr Mushnik correct? You must give a reason for your answer.
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