Question

What is the solution set to the inequality 5(x – 2)(x + 4) > 0?

Answer 1

5(x − 2)(x + 4) > 0. Divide by 5 (positive) to get (x − 2)(x + 4) > 0. Zeros at x = 2 and x = −4. The product is positive when both factors have the same sign:
- x < −4 (both negative), or
- x > 2 (both positive).

Solution: (-∞, -4) ∪ (2, ∞).