How do you solve 2abs(y-3)+6 < 02|y3|+6<0?

1 Answer
Jun 4, 2018

y in O/y

Explanation:

2|y+3|+6<02|y+3|+6<0
|y+3|+3<0|y+3|+3<0
|y+3|<-3|y+3|<3
So:
If y<-3y<3
-(y+3)<-3(y+3)<3
-y-3<-3y3<3
y+3>3y+3>3
cancel(y>0) because of our domain.
If y> -3,
y+3<-3
cancel(y<-6) because of our domain.
So : y in O/
\0/ here's our answer !