ECZ 2026 · GCE Paper 1 — Linear Programming

Write the four inequalities that define the unshaded region R on the XOY plane below.

Diagram for ECZ 2026 · GCE Paper 1
  • A. x ≥ 2; y ≤ 5; y ≥ -1; x + y ≥ 9
  • B. x ≤ 2; y ≤ 5; y ≥ -1; x + y ≤ 9
  • C. x ≥ 2; y ≤ 5; y ≥ -1; x - y ≤ 9
  • D. x ≥ 2; y ≤ 5; y ≥ -1; x + y ≤ 9

Verified working — step 1

Each boundary gives one inequality: name the line, then decide which side R is on (the hatching marks the side that is NOT wanted). Every line is solid, so each inequality includes "equal to".

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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