Solving Quadratic Inequalities

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What is a quadratic inequality?

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How do you solve a quadratic inequality?

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To solve a quadratic inequality, first solve the corresponding quadratic equation to find the critical points. Then, test intervals between these points to determine where the inequality holds true.

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What is the significance of critical points in quadratic inequalities?

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What does the graph of a quadratic inequality represent?

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The graph of a quadratic inequality represents the solution set of the inequality, showing the regions where the quadratic expression is either above or below the x-axis.

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What is the difference between strict and non-strict inequalities?

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How do you express the solution set of a quadratic inequality in interval notation?

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How do you determine the intervals for a quadratic inequality?

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After finding the critical points, test points from each interval in the original inequality to see if they satisfy the inequality.

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