Graphing Systems of Inequalities (Jump to: Lecture | Video )

Below, we have a system of inequalities:

y > x - 1

y < -x + 2

Figure 1.

First, we've graphed the first inequality. Anything within the area indicated by the green arrows is a valid solution to the first inequality.

Figure 2.

Now, we've graphed the second inequality. Anything within the area indicated by the new green arrows is a valid solution to the second inequality.

Figure 3.

A valid solution to both of these inequalities is any point within the overlapping green arrows.