ECZ 2025 · GCE Paper 1 — Linear Programming

Write three inequalities that define the unshaded region R in the diagram.

Diagram for ECZ 2025 · GCE Paper 1
  • 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

Each boundary gives one inequality: read the line's intercepts for its equation, then test a point inside R for the 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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