Subtract 5n from both sides
5-9n <8
Subtract 5 from both sides
-9n <3
Divide both sides by negative 9.
n <1/3
To check:
5-4 (1/3)<8-5 (1/3)
OR
Add 4n to both sides
5 <8-n
Subtract 8 from both sides
-3 <-n
Divide both sides by negative 1
3 <n
To check:
5-4 (3)<8-5 (3)
-7 < -7
The first way is your right answer.