The system of inequalities are and .

The system of linear inequalities are and .

 1) Draw the coordinate plane.

Graph the circle .

Here the inequality symbol is , the boundary is included in the solution set.

.2) Graph the line .

Here the inequality symbol is , the boundary is included in the solution set.

Find the intersection points by solving two equations and .

Substitute in .

and .

Substitute these values in the . \ \

If then .

If then .

The intersection points are  and .

The solution of the system is the set of ordered pairs in the intersection of the graphs of  and .This region is shaded in light green color.

Solution :

Step 2:

Graph:

Graph the inequality.

Shade the required region. \ \

Observe the graph:

The shaded part  and boundary of the curve indicate that required inequality graph region.

Solution:

The graph system of inequalities are and .