find the solution set of the inequality
|y+3|

Question

find the solution set of the inequality 
|y+3|<2 
show the solution
then graph the inequality

anonymous · Answer

why did it become -2?

anonymous · Answer

-2<y+3<2

-5<y<-1

anonymous · Answer

bnut, do you understand that absolute value means distance?

anonymous · Answer

I don't agree with your setup

anonymous · Answer

thats why im confuse of his answer .....

anonymous · Answer

The way that I have done it is correct

anonymous · Answer

can you explain where did you get -2<y+3<2

anonymous · Answer

absolute value in this case means that the distance between a point in either direction is 2 so we consider 2 units to the right of y+3 and 2 units to the left of y+3. That's why the absolute value sign disappears in the second step.

anonymous · Answer

From there, we just solve for y by subtracting 3 from all sides

anonymous · Answer

yeah i understand it, just set it up wrong but the -2<y+3<2 is the correct set up