$\"multiplication$ $\"\"$

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The inequality is $\"\"$ .

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

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

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$\"\"$ (Apply commutative property of multiplication: $\"\"$ )

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

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

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Apply subtration property of inequality: Subtract 6 from each side.

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$\"\"$

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$\"\"$ (Apply commutative property of addition: $\"\"$ )

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

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

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Graph the solution set on a number line. $\"number$

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

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Check:

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To check, substitute a number less than $\"\"$ in $\"\"$

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$\"\"$ (Substitute $\"\"$ )

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

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

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

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The inequality is true. $\"\"$

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The inequality solution is $\"\"$ .