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 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 .

                               (Substitute in original equation)

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

                  (Multiply each side by 2)

                               (Cancel common terms) \ \

                                 (Multiply: )

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)

The x-intercept is 10, so the graph intersects the x-axis at (10, 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.

4.  Since the statement is true, shade the region that contains point (0, 0).

Inequality graph is