Question

Solve the following inequalities graphically in two-dimensional plane:

$y<-2$

Answer 1

$y<-2$ is the shaded region shown in the graph.

If we put $O(0,0)$ in the LHS,we get LHS$=0$

Now $LHS>-2$

Means $O(0,0)$ lies on opposite side of "less than " side of the line.

Hence required region is "non-origin" side of the line.