Question: What is the solution to the inequality: x^2 + 2x - 8 > 0?

Options:

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

Correct Answer: (-∞, -4) ∪ (2, ∞)

Solution:

Step 1: Factor the inequality: (x - 2)(x + 4) > 0. Step 2: Critical points are x = -4 and x = 2. Step 3: Test intervals: (-∞, -4), (-4, 2), (2, ∞). The solution is (-∞, -4) ∪ (2, ∞).