The solution set of the shaded area above is - JAMB Mathematics 2006 Question

A
Y ≥ 0, y ≥ x and y + x ≤ 4
B
Y ≤ x, y + x ≤ 4
C
Y + x ≥ 4, y ≤ x
D
Y ≤ x, y + x ≤ 4 and y ≥ 0
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Correct Option: B
Y = x implies y ≤ x
Y + x = 4 implies y = 4 – x
∴y = 4 – x
∴y ≤ x, y + x ≤ 4 and y ≥ 0
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