Question 641559


{{{21-8m>6m+49}}} Start with the given inequality.



{{{-8m>6m+49-21}}} Subtract {{{21}}} from both sides.



{{{-8m-6m>49-21}}} Subtract {{{6m}}} from both sides.



{{{-14m>49-21}}} Combine like terms on the left side.



{{{-14m>28}}} Combine like terms on the right side.



{{{m<(28)/(-14)}}} Divide both sides by {{{-14}}} to isolate {{{m}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{m<-2}}} Reduce.



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Answer:


So the solution is {{{m<-2}}} 


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