Question 146398
{{{5(3m-(m+6))>-6(m-5)}}} Start with the given inequality



{{{15m-5(m+6)>-6(m-5)}}} Distribute 5 to the terms on the left side



{{{15m-5m-30>-6m+30}}} Distribute again.



{{{10m-30>-6m+30}}} Combine like terms on the left side.



{{{10m>-6m+30+30}}} Add {{{30}}} to both sides.



{{{10m+6m>30+30}}} Add {{{6m}}} to both sides.



{{{16m>30+30}}} Combine like terms on the left side.



{{{16m>60}}} Combine like terms on the right side.



{{{m>(60)/(16)}}} Divide both sides by {{{16}}} to isolate {{{m}}}. 



{{{m>15/4}}} Reduce.



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Answer:


So the answer is {{{m>15/4}}} 



Which approximates to {{{m>3.75}}} 




So the answer in set-builder notation is  *[Tex \LARGE \left\{m\|m>\frac{15}{4}\right\}]