0580/43 May/Jun 2025, Question 16: Finding Regions from Multiple Inequalities
Cambridge IGCSE Mathematics 0580 · Paper 43 (Extended) · Calculator · 5 marks
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The question, in short
On a grid from x −4 to 5 and y −2 to 7, shade out unwanted regions and label the region R satisfying y < 3, x ≤ 2 and y < x + 3.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1Draw the line y = 3 (horizontal, broken since y < 3) and shade above it
- 2Draw x = 2 (vertical, solid since x ≤ 2) and shade to the right of it
- 3Draw y = x + 3 through (−3, 0) and (0, 3) (broken since y < x + 3) and shade above it
- 4Leave unshaded the region left of x = 2, below y = 3 and below y = x + 3, and label it R
AnswerCorrect lines and region indicated
Stuck on a step? Read the free lesson: Finding Regions from Multiple Inequalities
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Also searched as: 0580/43/M/J/25 · 0580_s25_qp_43 · 0580 s25 43 · question 16.
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