4024/23 May/Jun 2025, Question 15: Finding Regions from Multiple Inequalities
Cambridge O Level Mathematics 4024 · Paper 23 (Calculator) · Calculator · 4 marks
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The question, in short
Using the given graph with axes from −5 to 5 and −4 to 6, write the three inequalities whose solution set is the small unshaded triangular region R.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Broken line through (0, 2) and (4, 2): y = 2, R below it: y < 2
- 2Solid line through (0, 0) and (4, 2): gradient 1/2, y = (1/2)x, R above it: y ≥ (1/2)x
- 3Solid line through (0, 2) and (2, 0): gradient −1, y = 2 − x, R above it: y ≥ 2 − x
- 4y < 2, y ≥ (1/2)x, y ≥ 2 − x
Answery < 2, y ≥ (1/2)x, y ≥ 2 − x
Stuck on a step? Read the free lesson: Finding Regions from Multiple Inequalities
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Also searched as: 4024/23/M/J/25 · 4024_s25_qp_23 · 4024 s25 23 · question 15.
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