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Which of the following is a solution to the inequality: x^2 + 2x - 8 < 0?

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Question: Which of the following is a solution to the inequality: x^2 + 2x - 8 < 0?

Options:

  1. x < -4
  2. -4 < x < 2
  3. x > 2
  4. x = -4

Correct Answer: -4 < x < 2

Solution:

Step 1: Factor: (x + 4)(x - 2) < 0. Step 2: Critical points are x = -4 and x = 2. Step 3: Test intervals: valid for -4 < x < 2.

Which of the following is a solution to the inequality: x^2 + 2x - 8 < 0?

Practice Questions

Q1
Which of the following is a solution to the inequality: x^2 + 2x - 8 < 0?
  1. x < -4
  2. -4 < x < 2
  3. x > 2
  4. x = -4

Questions & Step-by-Step Solutions

Which of the following is a solution to the inequality: x^2 + 2x - 8 < 0?
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