Question 146407


{{{4y-2<9y-3}}} Start with the given inequality.



{{{4y<9y-3+2}}} Add {{{2}}} to both sides.



{{{4y-9y<-3+2}}} Subtract {{{9y}}} from both sides.



{{{-5y<-3+2}}} Combine like terms on the left side.



{{{-5y<-1}}} Combine like terms on the right side.



{{{y>(-1)/(-5)}}} Divide both sides by {{{-5}}} to isolate {{{y}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{y>1/5}}} Reduce.



----------------------------------------------------------------------


Answer:


So the answer is {{{y>1/5}}} 



Which approximates to {{{y>0.2}}} 



So the answer in set-builder notation is  *[Tex \LARGE \left\{y\|y>\frac{1}{5}\right\}]