0580/21 Oct/Nov 2025, Question 16: Finding Regions from Multiple Inequalities
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Non-calculator · 4 marks
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The question, in short
From the graph, list every inequality whose solution set is the shaded region R, using the given boundary lines and axes.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Solid vertical line x = 2.5, R to its left: x ≤ 2.5
- 2Dashed line y = 3, R above it: y > 3
- 3Solid line y = 4, R below it: y ≤ 4
- 4Solid line through (0, 0) and (3, 6) has gradient 2: y = 2x, R below/right of it: y ≤ 2x
- 5x ≤ 2.5, y > 3, y ≤ 4, y ≤ 2x
Answerx ≤ 2.5 y > 3 y ≤ 4 y ≤ 2x
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Also searched as: 0580/21/O/N/25 · 0580_w25_qp_21 · 0580 w25 21 · question 16.
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