0580/21 Oct/Nov 2023, Question 15: Finding Regions from Multiple Inequalities
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 5 marks
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The question, in short
On a grid with x from −5 to 7 and y from −3 to 8, shade the unwanted regions and label the region R satisfying y > 1, x ≤ 2 and y ≥ x + 2.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1Draw y = 1 as a broken line (y > 1 is strict)
- 2Draw x = 2 as a solid vertical line
- 3Draw y = x + 2 as a solid line through (−2, 0), (0, 2) and (2, 4)
- 4Shade below y = 1, right of x = 2 and below y = x + 2; label the unshaded region above y = 1 and y = x + 2, left of x = 2, as R
AnswerBroken line y = 1, solid line x = 2, solid line y = x + 2; R is the unshaded region with y > 1, x ≤ 2 and y ≥ x + 2, labelled R
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Also searched as: 0580/21/O/N/23 · 0580_w23_qp_21 · 0580 w23 21 · question 15.
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