The graph of the inequality, x - 5y < 40, is sketched below in the diagram in the attachment.
How to graph inequality statements?
To graph the inequality x - 5y < 40, follow these steps:
Rewrite the inequality in slope-intercept form (y = mx + b):
x - 5y < 40
-5y < -x + 40
y > 1/5x - 8
Graph the corresponding equation (y = 1/5x - 8):
Start by plotting the y-intercept at (0, -8), and use the slope 1/5 to find another point or two. Draw a dashed line through these points.
3. Determine the shading:
Since the inequality is y > 1/5x - 8), shade the region above the line (not including the line itself.
The graph is shown below.