Question 507923


{{{-6(x+5)<-x+11}}} Start with the given inequality.



{{{-6x-30<-x+11}}} Distribute.



{{{-6x<-x+11+30}}} Add {{{30}}} to both sides.



{{{-6x+x<11+30}}} Add {{{x}}} to both sides.



{{{-5x<11+30}}} Combine like terms on the left side.



{{{-5x<41}}} Combine like terms on the right side.



{{{x>(41)/(-5)}}} Divide both sides by {{{-5}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>-41/5}}} Reduce.



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Answer:


So the solution is {{{x>-41/5}}} 


Answer in set-builder notation is *[Tex \LARGE \left\{x\| x > -\frac{41}{5}\right\}]