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

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The inequality $\"\"$ .

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Apply Addition property of inequality: Add q to each side.

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$\"\"$

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

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

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Combine like terms using distributive property: $\"\"$ .

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$\"\"$

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$\"\"$ (L.C.M of 2, 1 = 2)

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$\"\"$ (L.C.M is $\"\"$ )

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$\"\"$ (Simplify) $\"\"$

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Apply substraction 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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$\"\"$ (Multiply each side by 2)

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$\"\"$ (Cancel common terms) \ \

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

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

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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 58 in $\"\"$ .

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$\"\"$ (Substitute: q = 58)

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

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

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

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This value is true $\"\"$

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The inequality solution is $\"\"$ .