Solving Quadratic Inequalities

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Define a quadratic inequality.

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What is the general method for solving quadratic inequalities?

Back

1. Solve the corresponding quadratic equation to find the critical points. 2. Use these points to divide the number line into intervals. 3. Test each interval to determine where the inequality holds true.

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Front

What are critical points in the context of quadratic inequalities?

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Front

Explain the significance of testing intervals when solving quadratic inequalities.

Back

Testing intervals helps determine where the quadratic expression is positive or negative, which is essential for solving inequalities.

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What does it mean if a quadratic inequality has no solution?

Back

It means that the quadratic expression does not satisfy the inequality for any real number x.