$\"\"$

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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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$\"\"$ (Multiply each side by negative one and flip the symbol)

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

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$\"\"$ (Product of two different signs is negative) $\"\"$

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Solve the equation for Case-1.

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$\"\"$

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Apply subtraction property of inequality: Subtract 4 from each side.

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$\"\"$

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

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$\"\"$ (Apply Additive identity property: $\"\"$ )

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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 property of inequality: Subtract 4 from each side.

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$\"\"$

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

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$\"\"$ (Apply Additive identity property: $\"\"$ )

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

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

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The solution set is $\"\"$ .