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 3, so the graph intersects the y-axis at (0, – 3).

Next find the x-intercept.

The x-intercept is the value of x, when y = 0.

                            (Substitute y = 0 in original equation)

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

                (Add 3 to each side)

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

                                  (Apply Additive identity property: a + 0 = a)

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

                            (Divide each side by 2)

                                 (Cancel common terms)

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

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 .

Substitute and y = 0 in original inequality .

The statement is true.

5.  Since the statement is true, shade the region that contains point .

Inequality graph is