Question on: JAMB Mathematics - 1995

Solve the inequality (x - 3)(x - 4) (\leq) 0

A
3 \(\leq\) x \(\leq\) 4
B
3 < x < 4
C
3 \(\leq\) x < 4
D
3 < x \(\leq\) 4
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Correct Option: A

(x - 3)(x - 4) (\leq) 0

Case 1 (+, -) = x - 3 (\geq) 0, X - 4 (\geq) 0

= X (\leq) 3, x (\geq) 4

= 3 < x (\geq) 4 (solution)

Case 2 = (-, +) = x - 3 (\leq) 0, x - 4 (\geq) 0

= x (\leq) 3, x (\geq) 4

therefore = 3 (\leq) x (\leq) 4

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