ECZ 2017 · GCE Paper 1 — Linear Programming
Write the four inequalities that define the unshaded region R on the XOY plane: R is bounded by the solid horizontal lines y = 3 (above it, shading) and y = −1 (below it, shading), the dashed vertical line x = 2 (shading to its right), and the solid line through (−2, 0) and (0, 2) (shading to its upper left).
- A. y ≤ 3, y ≥ −1, x < 2, y ≤ x + 2
- B. y < 3, y > −1, x ≤ 2, y ≥ x + 2
- C. y ≤ 3, y ≤ −1, x < 2, y ≤ x + 2
- D. y ≥ 3, y ≤ −1, x > 2, y ≥ x + 2
Verified working — step 1
The line through (−2, 0) and (0, 2) is y = x + 2. Test an interior point such as (1, 1): below y = 3 (y ≤ 3, solid so inclusive), above y = −1 (y ≥ −1), left of the dashed x = …The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
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