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.

Diagram for ECZ 2016 · GCE Paper 1
  • 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

Find each boundary's equation first; then one interior point of R settles every inequality sign.

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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