$\"\"$

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The original function is $\"\"$ .

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Apply multiplication property of inequality: Multiply each side by 2.

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$\"\"$

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$\"\"$ (Cancel common terms)

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$\"\"$ (Multiply: $\"\"$ ) $\"\"$

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Case 1: If a < b Then

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$\"\"$

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Case 2: If $\"\"$ a < b Then

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$\"\"$

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Multiply each side by negative sign and flip the symbol.

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$\"\"$

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$\"\"$ (Product of two same signs is positive) $\"\"$

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Solve equation for case 1.

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$\"\"$

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Apply subtraction property of inequality: Subtract 1 from each side.

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$\"\"$

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Subtract: $\"\"$ ) $\"\"$

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Apply division property of inequality: Divide each side by 3.

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$\"\"$

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$\"\"$ (Cancel common terms)

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$\"\"$ (Divide: $\"\"$ ) $\"\"$

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Solve equation for case 2.

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$\"\"$

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Apply subtraction property of inequality: Subtract 1 from each side.

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$\"\"$

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Subtract: $\"\"$ ) $\"\"$

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Apply division property of inequality: Divide each side by 3.

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$\"\"$

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$\"\"$ (Cancel common terms)

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$\"\"$ (Divide: $\"\"$ ) $\"\"$

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Graph the solution set on a number line.

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$\"absolute$

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Note: A circle means that this point is not included in the solution set. $\"\"$

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The solution set is $\"\"$ .