ECZ 2021 · O-Level Paper 1 — Linear Programming
Write three inequalities that define the unshaded region R, on the diagram below.
- A. x ≥ 2; y ≤ x - 2; 2x + 3y ≤ 24
- B. x ≤ 2; y ≥ x - 2; 2x + 3y ≤ 24
- C. x ≥ 2; y ≥ x - 2; 2x + 3y ≤ 24
- D. x ≥ 2; y ≥ x - 2; 2x + 3y ≥ 24
Verified working — step 1
The vertical boundary is x = 2 and R lies to its right: x ≥ 2. The rising boundary passes through (2, 0) and (6, 4), giving gradient 1 and equation y = x − 2; R lies above it: y ≥ x − 2. The falling boundary passes through (0, 8) and (6, 4), giving gradient −23and equation 2x + 3y = …The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
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