Question 702103


{{{-3+11(12+9)<6(n+6)}}} Start with the given inequality.



{{{-3+132+99<6n+36}}} Distribute.



{{{228<6n+36}}} Combine like terms on the left side.



{{{0<6n+36-228}}} Subtract {{{228}}} from both sides.



{{{-6n<36-228}}} Subtract {{{6n}}} from both sides.



{{{-6n<-192}}} Combine like terms on the right side.



{{{n>(-192)/(-6)}}} Divide both sides by {{{-6}}} to isolate {{{n}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{n>32}}} Reduce.



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Answer:


So the solution is {{{n>32}}}