ECZ 2016 · GCE Paper 1 — Linear Programming
The boundary of the shaded region R is formed by the lines y = 2, L₁ (through (0, 6) and (2, 4)) and L₂ (through (0, 0) and (2, 4)). Write three inequalities which define the region R.
- A. y ≥ 2, y ≤ 2x, y ≤ −x + 6
- B. y ≤ 2, y ≥ 2x, y ≥ −x + 6
- C. y ≥ 2, y ≥ 2x, y ≤ −x + 6
- D. y ≥ 2, y ≤ 2x, y ≥ x + 6
Verified working — step 1
L₁ through (0,6) and (2,4) has gradient −1: y = −x + 6. L₂ through (0,0) and (2,4) has gradient 2: y = 2x. R is the triangle with apex (2,4) sitting above 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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