0580/22 Oct/Nov 2024, Question 13: Finding Regions from Multiple Inequalities
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 4 marks
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The question, in short
On a grid from −5 to 5, draw suitable straight lines and shade unwanted regions to find and label the region R satisfying −3 < y ≤ 2 and y ≤ x − 1.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Draw y = 2 as a solid line and y = −3 as a dashed line (strict inequality)
- 2Draw y = x − 1 as a solid line, through (0, −1) and (4, 3)
- 3Shade above y = 2, below y = −3 and above/left of y = x − 1
- 4Label the unshaded region R
AnswerLines y = 2 (solid), y = x − 1 (solid) and y = −3 (dashed) drawn, unwanted regions shaded and region R labelled
Stuck on a step? Read the free lesson: Finding Regions from Multiple Inequalities
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Also searched as: 0580/22/O/N/24 · 0580_w24_qp_22 · 0580 w24 22 · question 13.
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