Question 503535


{{{-11x-24<9-2(5x-9)}}} Start with the given inequality.



{{{-11x-24<9-10x+18}}} Distribute.



{{{-11x-24<-10x+27}}} Combine like terms on the right side.



{{{-11x<-10x+27+24}}} Add {{{24}}} to both sides.



{{{-11x+10x<27+24}}} Add {{{10x}}} to both sides.



{{{-x<27+24}}} Combine like terms on the left side.



{{{-x<51}}} Combine like terms on the right side.



{{{x>(51)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>-51}}} Reduce.



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Answer:


So the solution is {{{x>-51}}} 


So the solution in set-builder notation is *[Tex \LARGE \left\{x\|x>-51\right\}]