4024/11 Oct/Nov 2023, Question 16: Linear Inequalities
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
On a grid with x and y from 0 to 6, identify and label the region R satisfying 1 ≤ x ≤ 3, 2 ≤ y ≤ 3 and y ≥ x/2 + 1.
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Solution · 4 marks
- 1Draw the vertical lines x = 1 and x = 3
- 2Draw the horizontal lines y = 2 and y = 3
- 3Draw y = x/2 + 1 through (0, 1), (2, 2) and (4, 3)
- 4R is the region between x = 1 and x = 3, between y = 2 and y = 3, and on or above y = x/2 + 1: vertices (1, 2), (2, 2), (3, 2.5), (3, 3), (1, 3); label it R
AnswerRegion R bounded by x = 1, x = 3, y = 2, y = 3 and y = x/2 + 1: vertices (1, 2), (2, 2), (3, 2.5), (3, 3), (1, 3), labelled R
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Also searched as: 4024/11/O/N/23 · 4024_w23_qp_11 · 4024 w23 11 · question 16.
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