Solve the following inequalities graphically in two-dimensional plane:

– 3x + 2y ≥ – 6


Given: – 3x + 2y ≥ – 6

Consider: – 3x + 2y = – 6


X



0



2



Y



-3



0



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:



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