Solve the following inequalities graphically in two-dimensional plane:

– 3x + 2y ≥ – 6

Given: – 3x + 2y ≥ – 6

Consider: – 3x + 2y = – 6

Now draw a solid line – 3x + 2y = – 6 in the graph (∵– 3x + 2y = – 6 is included in the given question)

Now Consider – 3x + 2y ≥ – 6

Select a point (0,0)

⇒ - 3 × (0) + 2 × (0) ≥ – 6

⇒ 0 ≥ – 6 (this is true)

∴ Solution region of the given inequality is above the line – 3x + 2y – 6. (That is origin is included in the region)

The graph is as follows: