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

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The inequality is $\"\"$ .

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$\"\"$ (Multiply each side by 6)

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$\"\"$ (Cancel common terms)

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$\"\"$ (Distributive property: $\"\"$ )

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

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Apply addition property of inequality: Add 30x to each side.

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

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$\"\"$ (Commutative property: a+b=b+a)

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$\"\"$ (Add: $\"\"$ )

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

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

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$\"\"$ (Add 4 to each side )

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

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

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$\"\"$ (Add: $\"\"$ )

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$\"\"$ (Divide each side by 32)

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

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$\"\"$ (Cancel common terms)

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Graph the Solution set on a number line $\"number$

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(Note:A dot means that this point is included in the solution set )

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$\"\"$

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Check:

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To check,substitute 0.5 a number greaterthan 0.5 in $\"\"$

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$\"\"$

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

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

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

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$\"\"$ (Add: $\"\"$ ) $\"\"$

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The solution set is $\"\"$ .