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What is the solution set for the inequality x^2 - 5x + 6 > 0?

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Question: What is the solution set for the inequality x^2 - 5x + 6 > 0?

Options:

  1. x < 2 or x > 3
  2. 2 < x < 3
  3. x < 3
  4. x > 2

Correct Answer: x < 2 or x > 3

Solution:

Factoring gives (x - 2)(x - 3) > 0. The roots are x = 2 and x = 3. The solution set is x < 2 or x > 3.

What is the solution set for the inequality x^2 - 5x + 6 > 0?

Practice Questions

Q1
What is the solution set for the inequality x^2 - 5x + 6 > 0?
  1. x < 2 or x > 3
  2. 2 < x < 3
  3. x < 3
  4. x > 2

Questions & Step-by-Step Solutions

What is the solution set for the inequality x^2 - 5x + 6 > 0?
No concepts available.
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