$\"\"$

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The inequality is $\"\"$ .

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Write two cases:

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Case-1: The expression inside the absolute value symbols is positive ( $\"\"$ ).

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$\"\"$

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Case-2: The expression inside the absolute value symbols is negative ( $\"\"$ ).

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$\"\"$

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$\"\"$ (Divide each side by neative 1 and flip the symbol) $\"\"$

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Solve the equation for Case-1.

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$\"\"$

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

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$\"\"$

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$\"\"$ (Apply Additive inverse proparty: $\"\"$ )

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

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The solution set is $\"\"$ $\"\"$

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Solve the equation for Case-2.

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$\"\"$

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

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$\"\"$

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$\"\"$ (Apply Additive inverse proparty: $\"\"$ )

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

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The solution set is $\"\"$ $\"\"$

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The solution set is $\"\"$ .