Solve the quadratic inequality 2x² − 3x − 2 < 0.
Correct answer: B. −1/2 < x < 2
- A. x < −1/2 or x > 2
- B. −1/2 < x < 2
- C. x ≤ −1/2 or x ≥ 2
- D. −2 < x < 1/2
Explanation
The expression factors as (2x + 1)(x − 2). Since the parabola opens upward, it is negative strictly between its roots, so −1/2 < x < 2.
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