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The solution of the quadratic inequality x3 x -... - JAMB Mathematics 2007 Question

The solution of the quadratic inequality (x3 + x - 12) ≥ 0 is
A
x ≥ -3 or x ≤ 4
B
x ≥ 3 or x ≥ -4
C
x ≤ 3 or x v -4
D
x ≥ 3 or x ≤ -4
correct option: b

(x3 + x - 12) ≥ 0

(x + 4)(x - 3) ≥ 0

Either x + 4 ≥ 0 implies x ≥ -4

Or x - 3 ≥ 0 implies x ≥ 3

∴ x ≥ 3 or x ≥ -4

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