Question 189495
I'm assuming that you want to solve for "y"





{{{2x-3y>9}}} Start with the given inequality.



{{{-3y>9-2x}}} Subtract {{{2x}}} from both sides.



{{{y<(9-2x)/(-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<(9)/(-3)-(2x)/(-3)}}} Break up the fraction



{{{y<-3+(2/3)x}}} Reduce



{{{y<(2/3)x-3}}} Rearrange the terms



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Answer:


So the answer is {{{y<(2/3)x-3}}}