Solve the quadratic inequalities x2 - 5x 6 0 - JAMB Mathematics 2008 Question
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 option: a
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
(X-2)(X-3) = 0
X-2 = 0 implies X = 2
X-3 = 0 implies X = 3
∴ x ≤ 2, x ≥ 3
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