3 -3 SYSTEMS OF INEQUALITIES Solve systems of linear inequalities by graphing and using calculators.

Systems of Linear Inequalities � � � Two or more linear inequalities A solution to a system of linear inequalities is an ordered pair that makes ALL of the inequalities in the system true. We can use a graph to find these solutions

Graphing Systems � Find the solutions to the system: � Graph each inequality in the same plane. The overlap of each graph is the solution. �

Writing a System of Inequalities �

You Try! �

Using a System of Inequalities � � � You can spend at most 6 h playing basketball and doing homework. You want to spend less than 2 h playing basketball. You must spend at least 1. 5 h on homework. Draw a graph to show you can spend your time. First, define variables Write a system: x + y ≤ 6 At most 6 hours playing and doing homework � x < 2 Less than 2 hours playing � y ≥ 1. 5 At least 1. 5 hours on homework � � Graph the system

Calculators � � To graph an inequality using a calculator, enter any equations using the Y= button. Move to the far left of the equation where you should see a slash and press enter until you see: � Shaded above � Shaded below � Then GRAPH