Hi Jesse H.,
5x - 4 > 4x - 3
x - 4 > -3, subtract 4x from both sides.
x > 1, add 4 to both sides.
(1, ∞) is the interval notation.
On your linear graph, put an open parenthesis at 1 (this indicates 1 is not included), and a horizontal line attached to the parenthesis in the direction of positive x values, such as (---------------------->
I hope this helps, Joe.