Solve the following system of inequalities graphically:

Solution:

The given inequalities are

   

…………… (i)

   

……………. (ii)

For

   

Take value of

   

and

   

in equation one by one, we get value of

   

and

   

We got the point as  

   

and

   

Let us  check for

   

We got

   

which is not true, hence the origin does not lies in the solution of the equality. The required region is on the right side of the graph.

For

   

Take value of

   

and

   

one by one in equation, We get value of

   

and

   

We got the points as

   

,

   

Let us check for origin

   

We got  

   

which is true,

Therefore, the origin lies in solution of the equation.

We can say that the region on the right of the equation is the region required.

In the below graph the  shaded region is the required region.