Triangle OPQ above is the solution of the inequalities

  • 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
jamb 2003mathematics

The correct answer is A. x + 1 ≥ 0, y + x ≤ 0, y - x ≥ 0

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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