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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
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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

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