Triangle SPT is the solution of the linear ineq... - JAMB Mathematics 2001 Question

Triangle SPT is the solution of the linear inequalities

2y - x - 2 ≤ 0, y + 2x + 2 ≥ 0, -2 ≤ x ≤ - 1

-2 ≤ x ≤ 2, y ≥ 0, y + 2x + 2 ≤ 0, x ≤ 0

2y - x - 2 ≤ 0, y + 2x + 2 ≤ 0, y ≥ 0, x ≤ 0

2y - x - 2 ≥ 0, y + 2x + 2 ≤ 0, x ≤ 0

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Correct Option: A

Δ SPT is the solution of the inequalities

2y - x - 2 ≤ 0

2y ≤ 2 + x

y ≤ ²/₂ + ^x/₂

y ≤ 1 + ¹/₂x

y + 2x + 2 ≥ 0,

y ≥ -2 -2x

∴ the solution of the inequalities

2y - x - 2 ≤ 0,

y + 2x + 2 ≥ 0

= -2 ≤ x ≤ -1

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