Question 190349
{{{-8-2m-m<7m-8}}} Start with the given inequality.



{{{-3m-8<7m-8}}} Combine like terms on the left side.



{{{-3m<7m-8+8}}} Add {{{8}}} to both sides.



{{{-3m-7m<-8+8}}} Subtract {{{7m}}} from both sides.



{{{-10m<-8+8}}} Combine like terms on the left side.



{{{-10m<0}}} Combine like terms on the right side.



{{{m>(0)/(-10)}}} Divide both sides by {{{-10}}} to isolate {{{m}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{m>0}}} Reduce.



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Answer:


So the answer is {{{m>0}}}