## Graph Solutions to Systems of Linear Inequalities

### Learning Outcomes

• Graph systems of linear inequalities

We will continue to practice graphing the solution region for systems of linear inequalities. We will also graph the solutions to a system that includes a compound inequality.

### Example

Shade the region of the graph that represents solutions for both inequalities. $x+y\geq1$ and $y–x\geq5$.

The videos that follow show more examples of graphing the solution set of a system of linear inequalities.

The system in our last example includes a compound inequality.  We will see that you can treat a compound inequality like two lines when you are graphing them.

### Example

Find the solution to the system $3x + 2y < 12$ and $-1 ≤ y ≤ 5$.

In the video that follows, we show how to solve another system of inequalities that contains a compound inequality.