\"\"\"\"

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The inequality is \"\".

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Write the mixed numbers into improper fraction.

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The improper fraction of \"\"   \"\"

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The improper fraction of \"\"\"\"

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The inequality is \"\".\"\"

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Apply addition property of inequality:  Add \"\" 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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\"\"                               (Add:  \"\")

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

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 \"\"

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Graph the solution set on a number line.

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\"number

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Note: A dot means that this point is included in the solution set.\"\"

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Check:

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To check, substitute  a number 7 and greater than 7 in \"\".

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\"\"                   (Substitute  \"\")

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\"\"

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Find the least common denominator (LCD).

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Multiples of 1:1,2,3,4,5,6....

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Multiples of 3:3,6,9,12,15....

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The least common multiple of 1 and 3 is 3.

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Rewrite each fraction with a common denominator of 3.

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\"\"    

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\"\"

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\"\"

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\"\"

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The inequality  is true.\"\"

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The inequality solution is \"\".