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Solve systems of linear inequalities by graphing and using calculators.

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Presentation on theme: "Solve systems of linear inequalities by graphing and using calculators."— Presentation transcript:

1 Solve systems of linear inequalities by graphing and using calculators.

2  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

3  Find the solutions to the system:  Graph each inequality in the same plane.  The overlap of each graph is the solution.

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6  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 how 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

7  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

8  Odds p.153 #11-15,21-25,55


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