The triangle OPQ above is the solution of the inequalities
Attached Figure / Diagram
A
x + 1 ≥ 0, y + x ≤ 0, y - x ≥ 0
B
y + x ≤ 0, y - x ≥ 0, x -1 ≥ 0
C
x - 1 ≤ 0, y - x ≥ o, y + x ≥ 0
D
x - 1 ≤ 0, y + x ≤ 0, y - x ≤ 0
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
Lines bounding \Delta OPQ
OQ; y - x = 0
y - x \ge 0
PQ; x + 1 = 0
x + 1 \ge = 0
PO; y + x = 0
y + x \le 0
∴ x + 1 \ge 0, y + x \le 0, y - x \ge 0
Source: Myschool Past Questions Archive (Record #7768)