5-4n<8-5n

How do I solve

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
To check:

5-4 (3) <8-5 (3)

-7 < - 7

The first way is your right answer.