ECZ 2021 · GCE Paper 1 — Linear Programming
Write the four inequalities that define the unshaded region R on the diagram.
- A. x ≥ 1, x ≤ 5, y ≤ 4, 2x + 3y > 10
- B. x > 1, x < 5, y < 4, 2x + 3y ≥ 10
- C. x ≥ 1, x ≤ 5, y ≥ 4, 2x + 3y < 10
- D. x ≤ 1, x ≥ 5, y ≤ 4, 2x + 3y > 10
Verified working — step 1
R is bounded on the left by the solid line x = 1 and on the right by the solid line x = 5, so 1 ≤ x ≤ 5. It lies below the solid line y = 4, so y ≤ 4. The broken slanting line through (−1, 4) and (5, 0) is 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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