For which of the following inequalities is the solution set given by x < -4 or x > 2?

✓ Correct Answer: Option D

The roots of the quadratic are -4 and 2. This means the quadratic factors as (x - (-4))(x - 2) = (x + 4)(x - 2). For the solution x < -4 or x > 2, the inequality must be (x + 4)(x - 2) > 0, which expands to x^2 + 2x - 8 > 0.