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: )

Apply addition property of equality: If a = b than a + c = b + c.

  (Add 10 to each side)

                        (Apply Additive inverse property: –10 + 10 = 0)

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

                  (Divide each side by negative 5)

                            (Cancel common terms)

The y-intercept is – 2, so the graph intersects the y-axis at (0, – 2).

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: )

Apply addition property of equality: If a = b than a + c = b + c.

          (Add 10 to each side)

                                (Apply Additive inverse property: –10 + 10 = 0)

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

                          (Divide each side by 4)

                                (Cancel common terms)

                                 (Divide: )

The x-intercept is 2.5 , so the graph intersects the x-axis at (2.5, 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 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