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 .

                                          (Substitute )

                                                (Multiply: )

                                                  (Apply Additive identity property: )

The y-intercept is – 5, so the graph intersects the y-axis at (0, – 5).

Next find the x-intercept. \ \

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

                                             (Substitute ) \ \

                               (Add 5 to each side) \ \

                                                 (Simplify) \ \

                                             (Divide each side by 3)

                                                 (Cancel common terms)

                                               (Divide: )

The x-intercept is 1.66, so the graph intersects the x-axis at (1.66, 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 .

Substitute and y = 0 in original inequality .

The statement is false.

4.  Since the statement is false, shade the region that do not contains point .

Inequality graph is