Correct option is A
Given:
2 < x < 3
Formula Used:
Determine the sign of each factor using the given interval.
Solution:
Since x > 2,
x − 2 > 0.
Since x < 3,
x − 3 < 0.
Therefore,
(x − 3)(x − 2) = (negative)(positive) < 0.
Hence, option (a) is true.
The correct answer is (a) (x − 3)(x − 2) < 0.