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Published bySophie Weaver Modified over 9 years ago
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Solve systems of linear inequalities by graphing and using calculators.
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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
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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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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
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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
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Odds p.153 #11-15,21-25,55
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