Triangle OPQ above is the solution of the inequalities

Mathematics JAMB 2003

Triangle OPQ above is the solution of the inequalities

  • x + 1 ≥ 0, y + x ≤ 0, y - x ≥ 0 checkmark
  • y + x ≤ 0, y - x ≥ 0, x -1 ≥ 0
  • x - 1 ≤ 0, y - x ≥ o, y + x ≥ 0
  • x - 1 ≤ 0, y + x ≤ 0, y - x ≤ 0

The correct answer is: A

Explanation

Lines bounding Δ OPQ
OQ; y - x = 0
y - x ≥ 0
PQ; x + 1 = 0
x + 1 ≥ = 0
PO; y + x = 0
y + x ≤ 0
∴ x + 1 ≥ 0, y + x ≤ 0, y - x ≥ 0

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