Solve the following inequalities graphically in two-dimensional plane:

y + 8 ≥ 2x

Given: y + 8 ≥ 2x

Consider: y + 8 = 2x


X



0



4



Y



-8



0



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:



5