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Solve the inequality: x^2 - 9 > 0.

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Question: Solve the inequality: x^2 - 9 > 0.

Options:

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

Correct Answer: x < -3 or x > 3

Solution: 

Step 1: Factor: (x - 3)(x + 3) > 0. Step 2: Test intervals: solution is x < -3 or x > 3.

Solve the inequality: x^2 - 9 > 0.

Practice Questions

Q1
Solve the inequality: x^2 - 9 > 0.
  1. x < -3 or x > 3
  2. x > -3 and x < 3
  3. x < 3
  4. x > 3

Questions & Step-by-Step Solutions

Solve the inequality: x^2 - 9 > 0.
  • Inequalities – Understanding how to solve quadratic inequalities by factoring and testing intervals.
  • Factoring Quadratics – Recognizing how to factor a quadratic expression to find critical points.
  • Interval Testing – Applying the test point method to determine where the inequality holds true.
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