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
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
(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
Source: Myschool Past Questions Archive (Record #30906)