Question 376635


{{{2y-1<5y-3}}} Start with the given inequality.



{{{2y<5y-3+1}}} Add {{{1}}} to both sides.



{{{2y-5y<-3+1}}} Subtract {{{5y}}} from both sides.



{{{-3y<-3+1}}} Combine like terms on the left side.



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



{{{y>(-2)/(-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>2/3}}} Reduce.



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Answer:


So the solution is {{{y>2/3}}} 



Which approximates to {{{y>0.667}}} 



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