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: