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)

                                       (Simplify)

                             (Divide each side by negative 3) \ \

                                        (Simplify)

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)

                                             (Simplify)

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 dark line.

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

Substitute and y = 0 in original inequality .

The statement is true.

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

Inequality graph is