Question 241394


{{{7y-12<8y+5}}} Start with the given inequality.



{{{7y<8y+5+12}}} Add {{{12}}} to both sides.



{{{7y-8y<5+12}}} Subtract {{{8y}}} from both sides.



{{{-y<5+12}}} Combine like terms on the left side.



{{{-y<17}}} Combine like terms on the right side.



{{{y>(17)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{y}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{y>-17}}} Reduce.



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


Answer:


So the solution is {{{y>-17}}}