ECZ 2025 · GCE Paper 1 — Linear Programming
Write three inequalities that define the unshaded region R in the diagram.
- A. y ≤ 2x + 2; y ≤ −(52)x + 5; y ≤ −2
- B. y ≤ 2x + 2; y ≥ −(52)x + 5; y ≥ −2
- C. y ≥ 2x + 2; y ≤ −(52)x + 5; y ≥ −2
- D. y ≤ 2x + 2; y ≤ −(52)x + 5; y ≥ −2
Verified working — step 1
The left slanting line passes through (−1, 0) and (0, 2): y = 2x + 2, with R below it (y ≤ 2x + 2). The right slanting line passes through (0, 5) and (2, 0): y = −(52)x + 5 (equivalently 5x + 2y = 10), with R below it (y ≤ −(52)x + 5). The horizontal line is y = …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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