Question: Which of the following represents the solution to the inequality: x^2 - 5x + 6 > 0?

Options:

1. (2, 3)
2. (3, ∞) ∪ (-∞, 2)
3. (2, ∞)
4. (3, 2)

Correct Answer: (3, ∞) ∪ (-∞, 2)

Solution:

Step 1: Factor: (x - 2)(x - 3) > 0. Step 2: Test intervals: solution is (3, ∞) ∪ (-∞, 2).