Question

Graph this inequality:
y≥5
Plot points on the boundary line. Select the line to switch between solid and dotted. Select a region to shade it.

Answer 1

To graph the inequality y ≥ 5, we first need to graph the boundary line y = 5, which is a horizontal line passing through the y-axis at 5. Since the inequality includes the equality (=) sign, the line should be solid.

Plotting points on the line:
- We can choose any x-coordinate, say x = 0, and plot the point (0, 5) on the line.
- Another point on the line can be (2, 5), where x = 2.

The graph of the boundary line y = 5 looks like this:

|
5 | ● ● ● ● ● ● ● ●
|

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

Since the inequality is y ≥ 5, we need to shade the region above the boundary line.