Question 623967


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



{{{3x-6-2<x-5}}} Distribute.



{{{3x-8<x-5}}} Combine like terms on the left side.



{{{3x<x-5+8}}} Add {{{8}}} to both sides.



{{{3x-x<-5+8}}} Subtract {{{x}}} from both sides.



{{{2x<-5+8}}} Combine like terms on the left side.



{{{2x<3}}} Combine like terms on the right side.



{{{x<(3)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}. 



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Answer:


So the solution is {{{x<3/2}}}