Solve the following inequalities graphically in two-dimensional plane:

y + 8 ≥ 2x

Given: y + 8 ≥ 2x

Consider: y + 8 = 2x

Now draw a solid line y + 8 = 2x in the graph (∵y + 8 = 2x is included in the given question)

Now Consider y + 8 2x

Select a point (0,0)

⇒ (0) + 8 2 × (0)

⇒ 08 (this is true)

∴ Solution region of the given inequality is above the line y + 8 = 2x. (That is origin is included in the region)

The graph is as follows: