4MA1/2H Jan 2022, Question 13: Finding Regions from Multiple Inequalities
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 3 marks
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The question, in short
From a grid diagram, write down three inequalities whose intersection is the shaded triangular region, one boundary line being x + 2y = 8.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Identify the vertical line at x = −1 and note the shaded region is to the right, so x ≥ −1
- 2Identify the diagonal line y = x and note the shaded region is above it, so y ≥ x
- 3The given line is x + 2y = 8 and the shaded region is below it, so x + 2y ≤ 8
Answerx ≥ −1, y ≥ x, x + 2y ≤ 8
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