SOLUTION: 3y-1 < 8y-3 use set builder notation to describe the complete solution?? please help

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Question 327930: 3y-1 < 8y-3
use set builder notation to describe the complete solution?? please help
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
3y-1<8y-3

Subtract 8y from each side:
3y-8y-1<8y-8y-3
-5y-1<-3

Add +1 to each side
-5y-1+1<-3+1
-5y<-2

Divide both sides by -5, and don't forget to REVERSE the sign because you divided by a NEGATIVE number:
%28-5y%29%2F%28-5%29+%3E+%28-2%29%2F%28-5%29
y+%3E+2%2F5

Set builder notation is {y|y>2/5}, which is read:
THE SET of all values of Y, SUCH THAT, y>2/5.

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus