Question

Solve the following inequalities graphically in two-dimensional plane:
$x-y\le 2$

Answer 1

$x-y\le 2$ is the shaded region shown in the graph.

If we put $O(0,0)$ in the LHS,we get LHS$=0$

Now $LHS<0$

Means $O(0,0)$ lies on "less than " side of the line.

Hence required region is "origin" side of the line.