We draw the graph of line 2x – 3y = 6.
The line passes through (3, 0), (0, –2)
AB represents the equation 2x – 3y = 6
Now consider the inequality 2x – 3y > 6
Putting x = 0, y = 0
0 – 0 > 6, which is not true
∴ Origin does not lie in the region of
2x – 3y > 6.
The shaded region represents the inequality 2x – 3y > 6.