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

Correct answer is 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