Mathematics

Solve the quadratic inequalities x2 – 5x + 6 ≥0

Solve the quadratic inequalities x2 – 5x + 6 ≥0
  • A.
    x ≤ 2, x ≥ 3
  • B.
    x ≤ 3, x ≥ 2
  • C.
    x ≤ -2, x ≥ -3
  • D.
    x ≤-3, x ≥ 2
Correct Answer: Option A
Explanation

x2 – 5x + 6 = 0
(X-2)(X-3) = 0
X-2 = 0 implies X = 2
X-3 = 0 implies X = 3
∴ x ≤ 2, x ≥ 3