Graphing

Systems of Inequalities

Graphing systems of inequalities is done the same way as graphing a linear inequality. However, multiple shadings will have to be considered and the solution will be the set of ordered pairs satisfying the requirements of the given inequalities.

Example Solve the following system:

2x - y > -3
4x + y < 5

Step 1. Re-write the inequalities to isolate "y."

y < 2x + 3
y < -4x + 5

Step 2. Graph inequality 1 as shown earlier in this unit.

y < 2x + 3

Graph4