passpadi

2003

Mathematics

JAMB

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

Correct Answer: x + 1 ≥ 0, y + x ≤ 0, y - x ≥ 0

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

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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