Mathematics

The solution of the quadratic inequality (x3 + x – 12) ≥ 0 is

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 Answer: Option B
Explanation

(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