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 y-intercept.

The y-intercept is the value of y, when x = 0.

                           (Substitute x = 0)

                                  (Apply zero product property: )

The y-intercept is , so the graph intersects the y-axis at (0, ).

Next find the x-intercept.

The x-intercept is the value of x, when .

                            (Substitute )

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

                (Add 2 to each side)

                            (Apply Additive invrese property: )

                                  (Apply Additive identity property: )

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

                             (Divide each side by 6)

                                  (Cancel common terms)

                                 (Divide:  )

The x-intercept is 0.3, so the graph intersects the y-axis at (0.3, 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 (0, 0).

Substitute and y = 0 in original inequality .

The statement is true.

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

Inequality graph is