Question on: JAMB Mathematics - 2008
Solve the quadratic inequality x2 - 5x + 6 \(\geq\) 0
A
x \(\leq\) 2, x \(\geq\) 3
B
x \(\leq\) 3, x \(\geq\) 2
C
x \(\leq\) -2, x \(\geq\) -3
D
x \(\leq\) -3,x \(\geq\) 2
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Correct Option: A
x2 - 5x + 6 \(\geq\) 0
x2 - 2x - 3x + 6 \(\geq\) 0
x(x - 2) - 3(x - 2) \(\geq\) 0
(x - 2) (x - 3) \(\geq\) 0
x \(\geq\) 2 or \(\geq\) 3
x \(\leq\) 2 \(\geq\)
x2 - 2x - 3x + 6 \(\geq\) 0
x(x - 2) - 3(x - 2) \(\geq\) 0
(x - 2) (x - 3) \(\geq\) 0
x \(\geq\) 2 or \(\geq\) 3
x \(\leq\) 2 \(\geq\)
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