ECZ 2023 · GCE Paper 1 — Linear Programming

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

Diagram for ECZ 2023 · GCE Paper 1
  • A. y ≥ 1; y < 2x; y ≥ -x + 6
  • B. y ≥ 1; y > 2x; y ≤ -x + 6
  • C. y ≥ 1; y < 2x; y ≤ -x + 6
  • D. y ≤ 1; y < 2x; y ≤ -x + 6

Verified working — step 1

The three boundaries are: y = 1 with R above it (y ≥ 1); y = 2x through the origin and (2, 4), drawn BROKEN so its inequality is strict, with R below it (y < 2x); and the line through (2, 4) and (5, 1), i.e. 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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