The graph of the inequality is the shaded region and boundary of the inequality is . To graph the boundary, find the x-intercept and y-intercept of the line.

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 )

Apply division property of equality: If a = b than .

                          (Divide each side by 2)

                                 (Cancel common terms)

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 not included in the solution set. Graph the boundary of the inequality with a dashed line.

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

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

The statement is not true.

5.  Since the statement is not true, shade the region that do not contains point .

Inequality graph is