4MA1/2H Nov 2021, 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, region R is bounded by three straight lines, one being y = 2x + 2. Write down the three inequalities defining R.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Horizontal line y = −3: R is above it, so y ≥ −3
- 2Line through (0, 1) and (1, 0) is x + y = 1: R is below it, so x + y ≤ 1
- 3R is below y = 2x + 2, so y ≤ 2x + 2
Answery ≥ −3, x + y ≤ 1, y ≤ 2x + 2
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