Question

How do you solve this linear inequality `x-y>4`?

Answer 1

I'm uncertain what format you want your "solution" in.

You could re-write the inequality `x-y > 4` as
`y < x-4`

Maybe drawing a graph would be one way of expressing the solution.
To do this

1. Draw the line for the equation `y = x-4` (to do this draw a straight line through the intercept points `(0,-4)` and `(4,0)`
2. Shade the area below and to the left of your line as the solution area (since y values below this line are less than corresponding values on the line).