Given inequality is x – y ≤ 2
Let us draw the graph of the line x – y = 2
The line passes through the points (2, 0), (0, –2)
This line is represented by AB.
Now consider the inequality x – y ≤ 2
Putting x = 0, y = 0
0 – 0 ≤ 2, which is true.
∴ Origin lies in the region of x – y ≤ 2
The shaded region represents the inequality x – y ≤ 2.