How do you graph the system of inequalities y≥ -5 and x≥6?

1 Answer
Apr 2, 2015

Lets start by graphing y>=-5

First graph y = -5 line. The inequality includes -5 so our line will be a solid line, not a dashed line.

Then take a random point (y-axis != -5), lets say (0,0). This point satisfies the inequality so we will shade our line's side which includes (0,0).
The resulting graph should look like this:

graph{y >= -5 [-10, 10, -20, 20]}

Now lets graph x>=6

In order to graph this inequality we need to graph the x=6 line.
Since the inequality includes 6, our line will be a solid line.

Lets take a random point to determine which part will be shaded.

(7,0)
7>=6 satisfied.

So the part of the coordinate plane where (7,0) lies will be shaded.
The graph will look like this:

graph{x>=6 [-10, 10, -20, 20]}

Now, there is an area which is shaded by both graphs. That area is the result of this problem. Because it means both inequalities are satisfied in that area.