Question

What is the answer for 3|n+3|-3 <6? Why and show work and graph

Answer 1

add 3  to both sides
3|n+3|<6
divide both sides by 3
|n+3|<6
assume
n+3<6
-(n+3)<6

minus 3 both sides
n<3

-(n+3)<6
-n-3<6
add 3
-n<9
divide -1, don't forget to flip sign
n>-9

-9<n<3