Question

What's the answer to 3x-4y≥12​

Answer 1

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.