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)

Apply addition property of equality: If a = b than a + c = b + c.

               (Add 1 to each side)

                                 (Apply Additive inverse property: – a + a = 0)

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

                           (Divide each side by 3)

                                 (Cancel common terms)

                                (Divide: )

Next make at table, fill out the table with values for x > 0.3 and  x < 0.3. 

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 not true.

5.  Since the statement is not true, shade the region that do not contains point (0, 0).

Inequality graph is