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.

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Presentation transcript:

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.