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Solving a Quadratic Inequality Algebraically
To solve a quadratic inequality algebraically, follow a systematic five-step procedure. First, rewrite the quadratic inequality in standard form. Second, determine the zero partition numbers by solving the related quadratic equation (setting the quadratic expression equal to zero). Third, use the zero partition numbers to divide the number line into distinct intervals. Fourth, select a test point from each interval, substitute it into the original inequality, and note the sign of the quadratic expression above the number line for that interval. Fifth, identify the intervals where the inequality is satisfied and express the complete solution in interval notation.
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Intermediate Algebra @ OpenStax
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Solving a Quadratic Inequality Graphically
Solving a Quadratic Inequality Algebraically
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