Solving Systems of Inequalities by Graphing
A "system" of linear inequalities is a set of linear inequalities that you deal with all at once. Usually you start off with two or three linear inequalities. The technique for solving these systems is fairly simple. Here's an example.
2x – 3y < 12
x + 5y < 20
x > 0
- and then finding the overlaps of the various solutions".
I graph each of the inequalities and shade the specific regions.
The "solution" of the system is the region where all the inequalities work-
- the region where all three individual solution regions overlap. In this case,
- the solution is the purple shaded part in the middle of the image above.