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: a + 0 = a)

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

                   (Divide each side by negative 2)

                          (Cancel common terms)

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 y = 0.

                        (Substitute y = 0 in original equation)

                                   (Apply zero product property: )

The x-intercept is 5, so the graph intersects the x-axis at (5, 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 x = 0 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