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Mastering Systems of Inequalities with Graphs

Learn to solve systems of inequalities by graphing, find vertices, and determine solution sets through guided practice sessions. Enhance algebra skills with practical examples and Q&A support.

christian-kennedy
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Mastering Systems of Inequalities with Graphs

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  1. Algebra 2 Friday, Oct. 24 • Warm-ups…see slide below • Discussion/Notes/Guided Practice • Section 3.3 Solving Systems of Inequalities • Homework: • Solving Systems of Inequalities Worksheet

  2. Warm ups Determine whether the given point satisfies each inequality: a. b. c.

  3. After this section, you will be able to: Success Criteria: • Solve systems of inequalities by graphing • Determine the coordinates of the vertices of a region formed by the graph of a system of inequalities • Q&A • Guided Practice • Homework

  4. To solve a system of inequalities: find all the ___________________ that satisfy all of the inequalities in the system. The solution set is represented by _____________________________ of the graphs of the inequalities. Solving systems of inequalities Example 1a: Intersecting Regions Solve this system of inequalities.

  5. Example 1b: Intersecting Regions Solve this system of inequalities.

  6. Practice: Intersecting Regions Solve these systems of inequalities.

  7. Example 2: Separate Regions Solve these system of inequalities.

  8. Example 3: Find Vertices Find the coordinates of the vertices of the figure formed by

  9. Complete the “Solving Systems of Inequalities” Worksheet

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