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