ECZ 2011 · O-Level Paper 1 — Linear Programming
In the diagram, R is the unshaded region. Which three inequalities describe R?
- A. x ≥ 3, y ≤ x + 2, y ≥ -x + 2
- B. x ≤ 3, y ≤ x + 2, y ≥ -x + 2
- C. x ≤ 3, y ≥ x + 2, y ≤ -x + 2
- D. x ≤ 3, y ≤ x + 2, y ≤ -x + 2
Verified working — step 1
The vertical line is x = 3, hatched on its right, so x ≤ 3. The line of positive gradient passes through (-2, 0) and (0, 2), giving y = x + 2, hatched above, so y ≤ x + 2. The line of negative gradient passes through (0, 2) and (2, 0), giving y = -x + 2, hatched below, so 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.
Have a different question?
Search it — if it is from a past paper or a school mock, chances are we have it worked out, or one that uses the same method.
Search any past-paper question