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 zero product 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 y = 0.

                          (Substitute y = 0 in original equation)

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

               (Multiply each side by 3)

                   (Apply zero product property: )

Distribute terms using distributive property: a(b + c) = ab + ac.

\ \

                          (Cancel common terms) \ \

                            (Multiply: )

Apply subtraction property of equality: If a = b than a – c = b – c.

            (Subtract 15 from each side)

                               (Apply Additive inverse property: 15 – 15 = 0)

The x-intercept is –15 , so the graph intersects the x-axis at ( – 15, 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 false.

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

Inequality graph is