3.3 Systems of Inequalities An inequality and a system of inequalities can each have many solutions....

3.3 Systems of Inequalities• An inequality and a system of inequalities can each

have many solutions.

• A solution of a system of inequalities is a solution for each inequality in the system.

• You can solve a system of inequalities in more than one way.– Graphing the solution is usually the most appropriate

method.• The solution is the set of all points that are solutions of each

inequality in the system.

Solving a System by Using a Table

• See problem 1 on p. 149.

Solving a System by Graphing• You can solve a system of linear inequalities by

graphing.

• A graphed solution consists of a half-plane and possibly its boundary line.

• For two inequalities, the solution is the overlap of the two half-planes.

Solving a System by Graphing• What is the solution of the system of inequalities?

2x – y ≥ -3

y ≥ - ½ x + 1

Solving a Linear/Absolute-Value System• What is the solution of the system of inequalities?

y ≤ 3

y ≥ | x – 1 |

More Practice!!!!!• Homework – Textbook p. 153 #8 – 19, 22 – 30.