$\"\"$ $\"\"$ $\"\"$

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The original function is $\"\"$

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Write $\"\"$ as $\"\"$ or $\"\"$ $\"\"$

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First solve the case $\"\"$ .

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$\"\"$ (Subtract 3 from each side)

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$\"\"$ (Additive inerse property: $\"\"$ )

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

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

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Apply Division proparty of inequality: If a = b than $\"\"$

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$\"\"$ (Divide each side by 2)

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$\"\"$ (Cancel commen terms)

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

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Next solve the case $\"\"$ .

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$\"\"$ (Subtract 3 from each side)

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$\"\"$ (Additive inerse property: $\"\"$ )

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

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

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$\"\"$

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Apply Division proparty of inequality: If a = b than $\"\"$

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$\"\"$ (Divide each side by 2)

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$\"\"$ (Cancel commen terms)

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

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To graph the solutions set, first draw a number line.

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Draw a heavy line between -3.5 and 0.5. Since -3.5 and 0.5are not included in the solution set draw a circle at -3.5 and 0.5.

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$\"absolute$

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$\"\"$

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The solution set is $\"\"$

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