Let us draw the line –3x + 2y = –6
The line passes through (2, 0), (0, –3)
The line AB represents the equation
–3x + 2y = –6
Now consider the inequality –3x + 2y ≥ –6
Putting x = 0, y = 0
0 + 0 ≥ –6, which is true.
∴ Origin lies in the region of –3x + 2y ≥ –6
The shaded region represents the inequality –3x + 2y ≥ – 6