Question 146782
{{{5(3m-(m+4))>-2(m-4)}}} Start with the given inequality



{{{15m-5(m+4)>-2(m-4)}}} Distribute 5 to the terms on the left side



{{{15m-5m-20>-2m+8}}} Distribute again.



{{{10m-20>-2m+8}}} Combine like terms on the left side.



{{{10m>-2m+8+20}}} Add {{{20}}} to both sides.



{{{10m+2m>8+20}}} Add {{{2m}}} to both sides.



{{{12m>8+20}}} Combine like terms on the left side.



{{{12m>28}}} Combine like terms on the right side.



{{{m>(28)/(12)}}} Divide both sides by {{{12}}} to isolate {{{m}}}. 



{{{m>7/3}}} Reduce.



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Answer:


So the answer is {{{m>7/3}}} 



Which approximates to {{{m>2.333}}} 





So the answer in set-builder notation is  *[Tex \LARGE \left\{m\|m>\frac{7}{3}\right\}]