Answer:
Step-by-step explanation:
We need to graph 3x - 4y = 12, using a solid line because of the ≥ sign.
First, let x = 0 and find y: -4y = 12, or y = -3. Plot a dot at (0, -3).
Next, let y = 0 and find x: 3x = 12, or x = 4. Plot a dot at (4, 0).
Now draw a straight line through these points (0, -3) and (4, 0).
Lastly we have to determine whether to shade the area above this line or the area beneath it.
Let's choose the test point (0, 0). Then 3(0) - 4(0) ≥ 12. This is FALSE. Thus, shade the area under the line 3x - 4y = 12. The solution set is this shaded area.
