ECZ 2015 · O-Level Paper 1 — Linear Programming
In the XOY plane shown, the unshaded region R is bounded by straight lines AB, AC and OB, where A(−2, 12), B(2, 12) and C(2, 0). Write three inequalities that define the region R.
- A. y ≤ 12, y ≥ 6x, y ≥ −3x + 6
- B. y < 12, y > 6x, y > −3x + 6
- C. y ≤ 12, y ≤ 6x, y ≥ −3x + 6
- D. y ≥ 12, y ≤ 6x, y ≤ −3x + 6
Verified working — step 1
AB is y = 12 with R below it: y ≤ 12. OB passes through (0, 0) and (2, 12): y = 6x, with R on the side where y ≥ 6x (test (0, 6)). AC passes through (−2, 12) and (2, 0): gradient −3, 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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