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Which of the following is the solution set for the inequality x^2 - 4 > 0?

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Question: Which of the following is the solution set for the inequality x^2 - 4 > 0?

Options:

  1. (-∞, -2) βˆͺ (2, ∞)
  2. (-2, 2)
  3. [-2, 2]
  4. [2, ∞)

Correct Answer: (-∞, -2) βˆͺ (2, ∞)

Solution:

Factor: (x - 2)(x + 2) > 0. The solution is x < -2 or x > 2.

Which of the following is the solution set for the inequality x^2 - 4 > 0?

Practice Questions

Q1
Which of the following is the solution set for the inequality x^2 - 4 > 0?
  1. (-∞, -2) βˆͺ (2, ∞)
  2. (-2, 2)
  3. [-2, 2]
  4. [2, ∞)

Questions & Step-by-Step Solutions

Which of the following is the solution set for the inequality x^2 - 4 > 0?
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