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 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 .

                       (Substitute in original equation)

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

           (Subtract 3 from each side)

                    (Apply Additive invrese property: )

                          (Apply Additive identity property: )

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

                     (Divide each side by negative 4)

                             (Cancel common terms)

                               (Division: )

The x-intercept is 0.7, so the graph intersects the x-axis at (0.7, 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 false.

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

Inequality graph is