Question 178485
{{{-6-4m-m<5m-6}}} Start with the given inequality.



{{{-5m-6<5m-6}}} Combine like terms on the left side.



{{{-5m<5m-6+6}}} Add {{{6}}} to both sides.



{{{-5m-5m<-6+6}}} Subtract {{{5m}}} from both sides.



{{{-10m<-6+6}}} 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}}}