Step 1:

The system of inequalities are and .

Draw the coordinate plane.

Consider the inequality : 

Graph the line

 Since the inequality symbol is the boundary is included the solution set.

Graph the boundary of the inequality with solid line.

To determine which half plane to be shaded use a test point in either half- plane.

A simple choice is .

Substitute in original inequality.

.

The statement is true.

Since the statement is true, shade the region contain point .

Step 2:

Consider the inequality :

Graph the line

Since the inequality symbol is the boundary is included the solution set.

Graph the boundary of the inequality with solid line.

To determine which half plane to be shaded use a test point in either half- plane.

A simple choice is .

Substitute in original inequality.

The statement is true.

Since the statement is true, shade the region contain point .

Graph:

Graph the inequalities: and .

Shade the required region.

Feasible Region:

The graph of the inequalities and is the shaded region, where every point in the shaded region satisfies the both inequalities.

Graph:

Shade the feasible region: