The inequality is .

The graph of the inequality is the shaded region, so every point in the shaded region satisfies the inequality.

The graph of the equation is the boundary of the region. Since the inequality , the boundary is drawn as a solid line to show that points on the line does satisfy the inequality and the shaded region below the graph of .

To graph the boundary line, find the x - intercept and y - intercept of the line.

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

To find the y - intercept, substitute the value of in the original equation.

.

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

The x - intercept is the value of x, when .

To find the x - intercept, substitute the value of in the original equation.

Add 4 to each side.

Divide each side by negative 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 and draw a line through these points.

3.  To determine which half-plane to be shaded use a test point in either half-plane. A simple choice is .

Substitute the value of in the original inequality.

.

4.  Since the above statement is false, shade the region that does not contain point .

The inequality graph is