ECZ 2022 · O-Level Paper 1 — Linear Programming

Write the four inequalities that define the unshaded region R in the diagram below.

Diagram for ECZ 2022 · O-Level Paper 1
  • A. x ≥ -2; x ≤ 4; y ≥ 2; y ≤ -3x4 + 6
  • B. x ≥ -2; x ≥ 4; y ≥ 2; y ≤ -3x4 + 6
  • C. x ≥ -2; x ≤ 4; y ≤ 2; y ≤ -3x4 + 6
  • D. x ≤ -2; x ≤ 4; y ≥ 2; y ≤ -3x4 + 6

Verified working — step 1

Each boundary gives one inequality: find the line's equation, then test a point inside R to choose 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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