Solve the inequality (x + 5)(x - 2) > 0. Which of the following is the solution set?
Show the answer and explanation
Correct answer
B. (-∞, -5) ∪ (2, ∞)
Principle or equation
For a quadratic inequality of the form (x - a)(x - b) > 0 with a < b, the solution is x < a or x > b.
Why this answer is correct
The roots are x = -5 and x = 2. The sign of the product is positive when x is less than -5 or greater than 2. Thus the solution set is (-∞, -5) ∪ (2, ∞).
Example
Solve (x - 1)(x + 3) > 0. Roots: -3 and 1. Solution: x < -3 or x > 1.
This published item includes a stored explanation and passed the platform’s publication workflow. It is independent preparation material, not a claim of an official or recalled examination question.