The equation is .

The all points on the coordinate plane  below the graph of represent the shaded region and the boundary line does not include in the shaded region, so here we can use inequality symbol to write 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 dashed line to show that points on the line does not satisfy the inequality.

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 y = 0.

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

Add 5 to each side.

Divide each side by 3.

.

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