4024/12 May/Jun 2024, Question 16: Finding Regions from Multiple Inequalities
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
On a grid with x and y from −1 to 5, identify and label the region R satisfying y ≥ 2x, x + y ≤ 4 and x ≥ 0.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Rule y = 2x through (0, 0) and (2, 4)
- 2Rule x + y = 4 through (0, 4) and (4, 0)
- 3x = 0 is the y-axis
- 4R is above y = 2x, below x + y = 4 and right of the y-axis: the triangle with vertices (0, 0), (0, 4) and (4/3, 8/3); label it R
AnswerCorrect region indicated
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Also searched as: 4024/12/M/J/24 · 4024_s24_qp_12 · 4024 s24 12 · question 16.
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