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avatar+48 

Solve the inequality m/3 + 1/4 > 3m/8

 Jun 1, 2018

Best Answer 

 #1
avatar+7354 
+3

\(\frac{m}{3}+\frac14>\frac{3m}{8}\)

                                               Multiply both sides of the inequality by  24  .

\(24(\frac{m}{3}+\frac14)>24(\frac{3m}{8})\)

                                               Distribute the  24  to the terms in parenthesees.

\(\frac{24m}{3}+\frac{24}4>\frac{(24)(3)m}{8}\)

                                               Simplify each fraction.

\(8m+6>9m\)

                                               Subtract  8m  from both sides of the inequality.

\(6>9m-8m\\~\\ 6>m\\~\\ m<6\)

.
 Jun 1, 2018
edited by hectictar  Jun 1, 2018
 #1
avatar+7354 
+3
Best Answer

\(\frac{m}{3}+\frac14>\frac{3m}{8}\)

                                               Multiply both sides of the inequality by  24  .

\(24(\frac{m}{3}+\frac14)>24(\frac{3m}{8})\)

                                               Distribute the  24  to the terms in parenthesees.

\(\frac{24m}{3}+\frac{24}4>\frac{(24)(3)m}{8}\)

                                               Simplify each fraction.

\(8m+6>9m\)

                                               Subtract  8m  from both sides of the inequality.

\(6>9m-8m\\~\\ 6>m\\~\\ m<6\)

hectictar Jun 1, 2018
edited by hectictar  Jun 1, 2018
 #2
avatar+48 
+3

Thanks alot

zadkeilpaul  Jun 1, 2018

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