Question 627121


{{{3(5-x)<2(x-9)}}} Start with the given inequality.



{{{15-3x<2x-18}}} Distribute.



{{{-3x<2x-18-15}}} Subtract {{{15}}} from both sides.



{{{-3x-2x<-18-15}}} Subtract {{{2x}}} from both sides.



{{{-5x<-18-15}}} Combine like terms on the left side.



{{{-5x<-33}}} Combine like terms on the right side.



{{{x>(-33)/(-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>33/5}}} Reduce.



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Answer:


So the solution is {{{x>33/5}}} 


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