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6-6 Systems of Linear Inequalities

6-6 Systems of Linear Inequalities. Learning Targets: I can solve systems of linear inequalities by graphing. I can model real-world situations using systems of linear inequalities. System of Linear Inequalities: made up of two or more linear inequalities

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6-6 Systems of Linear Inequalities

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  1. 6-6 Systems of Linear Inequalities Learning Targets: I can solve systems of linear inequalities by graphing. I can model real-world situations using systems of linear inequalities.

  2. System of Linear Inequalities: made up of two or more linear inequalities Solution of a system of linear inequalities: an ordered pair that makes all the inequalities in the system true Learning Targets: I can solve systems of linear inequalities by graphing. I can model real-world situations using systems of linear inequalities.

  3. Problem 1: Graphing a System of Linear Inequalities Determine whether the ordered pair is a solution of the given system Learning Targets: I can solve systems of linear inequalities by graphing.

  4. Determine whether the ordered pair is a solution of the given system Learning Targets: I can solve systems of linear inequalities by graphing.

  5. Problem 1: Graphing a System of Linear Inequalities Learning Targets: I can solve systems of linear inequalities by graphing.

  6. Learning Targets: I can solve systems of linear inequalities by graphing.

  7. Learning Targets: I can solve systems of linear inequalities by graphing.

  8. Problem 2: Writing a System of Inequalities From a Graph What systems of inequalities is represented by the graph below? Learning Targets: I can solve systems of linear inequalities by graphing.

  9. What systems of inequalities is represented by the graph below? Learning Targets: I can solve systems of linear inequalities by graphing.

  10. What systems of inequalities is represented by the graph below? Learning Targets: I can solve systems of linear inequalities by graphing.

  11. Problem 3: Using a System of Inequalities You are planning what to do after school. You can spend at most 6 hours playing basketball and doing homework. You want to spend less than 2 hours playing basketball. You must spend at least 1.5 hours on homework. What is a graph showing how you can spend your time? Learning Targets: I can solve systems of linear inequalities by graphing. I can model real-world situations using systems of linear inequalities.

  12. Problem 3: Using a System of Inequalities A dog walker earns $15 per hour. She also earns $12 per hour for babysitting. She wants to earn at least $300 next week, but can work no more that 30 hours. What is a graph showing how many hours she can work at each job? Learning Targets: I can solve systems of linear inequalities by graphing. I can model real-world situations using systems of linear inequalities.

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