ECZ 2019 · GCE Paper 1 — Linear Programming
The diagram shows an unshaded region R bounded by four lines: the dashed horizontal line y = 6; the vertical line x = 2; the line through (0, 0) and (−2, 2); and the line through (−2, 0) and (0, 4). Write four inequalities that define R.
- A. y < 6, x ≤ 2, y > −x, y ≤ 2x + 4
- B. y < 6, x ≤ 2, y > −x, y ≥ 2x + 4
- C. y ≤ 6, x < 2, y ≥ −x, y ≤ 2x + 4
- D. y > 6, x ≥ 2, y < −x, y ≥ 2x + 4
Verified working — step 1
Take each boundary in turn and test a point inside R (for example (1, 2)). y = 6 is dashed and R is below: y < 6. The vertical line gives x ≤ 2. The line through (0,0) and (−2,2) is y = −x, and 2 > −1, so y > −x. The line through (−2,0) and (0,4) is y = …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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