Step-by-step explanation
Since we have the inequality x - y < 4
Subtracting -x to both sides:
-y < 4 - x
Dividing both sides by -1 and reversing:
y > -4 + x
Rearranging terms:
y > x - 4
Now, we need to represent the expression on a graph.
We can see that this is a line and we can take some points in order to graph, as shown as follows:
x y>x-4 =
0 y> 0-4 = -4
1 y> 1-4 = -3
2 y> 2-4 = -2
The graph is the following: