Answer
Minimum height 4.75 feet, maximum height 5.25 feet
Work Step by Step
Let h be the actual height of a horse face
The difference between the actual height and recommended height of the fence is at most 0.25 ft.
|h-5|$\leq$0.25
h-5$\leq$0.25 and h-5$\geq$-0.25
h$\leq$5.25 and h$\geq$4.75
4.75$\leq$h$\leq$5.25