Solve the following inequalities graphically in two-dimensional plane:

2x + y ≥ 6

Given: 2x + y 6

Consider: 2x + y = 6


X



0



3



Y



6



0



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


Now Consider 2x + y 6


Select a point (0,0)


⇒ 2 × (0) + 0 6


⇒ 05 (this is false)


∴ Solution region of the given inequality is above the line 2x + y = 6. (Away from the origin)


The graph is as follows:



2