Question 677253


{{{2-3(6+5n)<-6n+20}}} Start with the given inequality.



{{{2-18-15n<-6n+20}}} Distribute.



{{{-15n-16<-6n+20}}} Combine like terms on the left side.



{{{-15n<-6n+20+16}}} Add {{{16}}} to both sides.



{{{-15n+6n<20+16}}} Add {{{6n}}} to both sides.



{{{-9n<20+16}}} Combine like terms on the left side.



{{{-9n<36}}} Combine like terms on the right side.



{{{n>(36)/(-9)}}} Divide both sides by {{{-9}}} to isolate {{{n}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{n>-4}}} Reduce.



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Answer:


So the solution is {{{n>-4}}}