Solve the following inequalities graphically in two-dimensional plane:

y < – 2

Given: y < – 2

Consider: y = – 2

Now draw a dotted line y = – 2 in the graph (∵ y = – 2 is excluded in the given question)

Now Consider y < – 2

Select a point (0,0)

⇒ 0 < – 2

⇒ 0 < 30 (this is false)

∴ Solution region of the given inequality is below the line y < – 2. (That is Away from the origin)

The graph is as follows: