For which values of x is (x − 3)(x + 2) > 0?
Correct answer: B. x < −2 or x > 3
- A. −2 < x < 3
- B. x < −2 or x > 3
- C. x ≤ −2 or x ≥ 3
- D. −3 < x < 2
Explanation
The critical values are −2 and 3. The product is positive outside these roots, so the solution is x < −2 or x > 3, with the endpoints excluded because the inequality is strict.
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About Linear and Quadratic Equations and Inequalities
Linear equations are solved using algebraic manipulation, while quadratic equations involve factorisation, the quadratic formula, completing the square and the discriminant. Inequalities require careful treatment of solution intervals and reversal of the sign when multiplying or dividing by a negative number, unlike ordinary equation solving.
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