$\"\"$

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The inequality is $\"\"$ .

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Rewrite the inequality $\"\"$

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As the symbol is $\"\"$ and $\"\"$ , the solution lies below the $\"\"$ -axis.

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The related function is $\"\"$ .

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Solve the equation.

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$\"\"$ (Related function)

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$\"\"$ (Quadratic formula)

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Simplify)

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$\"\"$ or $\"\"$ (Write as two equation)

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$\"\"$ or $\"\"$ (Simplify)

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Graph:

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Graph the parabola and the $\"\"$ -intercepts at $\"\"$ and $\"\"$ . \ \

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$\"\"$

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Observe the graph:

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The graph lies below the $\"\"$ -axis between $\"\"$ and $\"\"$ .

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The solution set of the inequality is $\"\"$ .

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$\"\"$

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Check:

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Test one value of $\"\"$ -greater than $\"\"$ and less than $\"\"$ of the original inequality.

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Case (i): $\"\"$

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$\"\"$ (Original function)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Evaluate powers: $\"\"$ )

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$\"\"$ (Multiply)

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$\"\"$ (Simplify)

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Case (ii): $\"\"$

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$\"\"$ (Original function)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Evaluate powers: $\"\"$ )

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$\"\"$ (Multiply)

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$\"\"$ (Simplify)

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Case (iii): $\"\"$

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$\"\"$ (Original function)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Evaluate powers: $\"\"$ )

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$\"\"$ (Multiply)

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$\"\"$ (Simplify) $\"\"$

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Solution set is $\"\"$ .