Quadratic Inequality Review

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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 find the roots of the corresponding quadratic equation. Then, test intervals between the roots to determine where the inequality holds true.

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What does it mean if a quadratic expression is greater than zero?

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If a quadratic expression is greater than zero, it means that the values of the variable make the expression positive. This can occur outside the roots of the quadratic function.

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What does it mean if a quadratic expression is less than or equal to zero?

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If a quadratic expression is less than or equal to zero, it means that the values of the variable make the expression negative or zero. This occurs between the roots of the quadratic function.

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What is the significance of the roots in a quadratic inequality?

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The roots of a quadratic inequality are the points where the quadratic expression equals zero. They divide the number line into intervals that can be tested to determine where the inequality holds.

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