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)

                                       (Simplify)

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)

                         (Subtract 3 from each side)

                                  (Apply Additive invrese property: )

                                        (Apply Additive identity property: )

                                   (Divide each side by Negative 4)

                                              (Cancel common terms)

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 .

Substitute and y = 0 in original inequality .

The statement is false.

4.  Since the statement is false, shade the region that do not contains point .

Inequality graph is