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 in original equation)

                                     (Apply Additive identity property: 0 – 3y = 3y)

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

                            (Divide each side by negative 3)

                                       (Cancel common terms)

The y-intercept is 1, so the graph intersects the y-axis at (0, 1).

Next find the x-intercept.

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

                              (Substitute y = 0 in original equation)

                                          (Apply zero product property: )

The x-intercept is 3, so the graph intersects the x-axis at (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 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 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