Question 184152
{{{3x-y-2<-2+2y}}} Start with the given inequality.



{{{-y-2<-2+2y-3x}}} Subtract {{{3x}}} from both sides.



{{{-y<-2+2y-3x+2}}} Add {{{2}}} to both sides.



{{{-y-2y<-2-3x+2}}} Subtract {{{2y}}} from both sides.



{{{-3y<-2-3x+2}}} Combine like terms on the left side.



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



{{{y>(-3x)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{y}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{y>x}}} Reduce


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Answer:


So the answer is {{{y>x}}}