ECZ 2010 · O-Level Paper 1 — Linear Programming

Triangle PQR has vertices P(-1, 2), Q(2, 2) and R(-1, -1). Write down the three inequalities which define the region inside the triangle.

Diagram for ECZ 2010 · O-Level Paper 1
  • A. x ≤ -1, y ≥ 2, y ≤ x
  • B. x ≥ -1, y ≤ 2, y ≥ x
  • C. x ≥ -1, y ≥ 2, y ≤ x
  • D. x ≤ -1, y ≤ 2, y ≥ x

Verified working — step 1

PR is the vertical line x = -1 with the triangle to its right, so x ≥ -1. PQ is the horizontal line y = 2 with the triangle below, so y ≤ 2. QR joins (2, 2) and (-1, -1), which is the line y = x, and the triangle lies above it, so y > = …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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