0580/22 Feb/Mar 2021, Question 16: Finding Regions from Multiple Inequalities
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 5 marks
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The question, in short
On a grid from −1 to 4 in x and y, draw lines for y > 1, y < 2x + 2 and x + y ≤ 3, shade unwanted regions, then find and label region R.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1Draw y = 1 as a dashed horizontal line (strict inequality)
- 2Draw y = 2x + 2 dashed through (−1, 0) and (0, 2)
- 3Draw x + y = 3 solid through (0, 3) and (3, 0)
- 4Shade below y = 1, above y = 2x + 2 and above x + y = 3; label the unshaded triangle R
Answer3 correct ruled lines, y = 1 (dashed), y = 2x + 2 (dashed), x + y = 3 (solid), and R clearly indicated
Stuck on a step? Read the free lesson: Finding Regions from Multiple Inequalities
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Also searched as: 0580/22/F/M/21 · 0580_m21_qp_22 · 0580 m21 22 · question 16.
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