Multiple choice

Solve for x: x2 - 3x - 10 > 0

  1. (2, 5)

  2. [2, ∞)

  3. (5, ∞)

  4. (1, 5)

  5. (0, 5)
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C Correct answer
AI explanation

To solve the quadratic inequality x^2 - 3x - 10 > 0, we first find the roots by splitting the middle term, which gives (x - 5)(x + 2) > 0 and roots of 5 and -2. Since the parabola opens upward, the expression is positive outside the interval of the roots, giving x < -2 or x > 5. Among the provided choices, the interval (5, infinity) correctly represents the valid region for x.

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