The graph of the inequality is the shaded region and boundary of the inequality is . To graph the boundary,First find the minimum point of the graph.

Since absolute value function can not be negative, the minimum point of the

graph is where .

The original function is .

Set original function

                                           (Absolute value of |x| = x)

Next make at table, fill out the table with values for x > 0 and  x < 0. 

To draw inequality follow the steps.

1.   Draw a coordinate plane.

2.  Plot the points.

3.  Since inequality symbol is , the boundary is included in the solution set. Graph the boundary of the inequality with a Solid line.

4.  To determine which half-plane to be shaded use a test point in either half-plane. A simple choice is (0, 0).

Substitute x = 0 and y = 0 in original inequality .

The statement is true.

5.  Since the statement is true, shade the region that contains point (0, 0).

Inequality graph is