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Solving Systems of Linear Inequalities

Learn how to solve systems of linear inequalities through substitution and graphing. Practice solving systems of equations by graphing and complete a worksheet on solving inequalities.

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Solving Systems of Linear Inequalities

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  1. Warm-Up 10.08 1. Solve through substitution: 2. Little Game Stoops earns $8.00 per hour during the daytime and $9.50 per hour in the evenings after 6:00 pm. Last week, he earned $314 for 37 hours. Write the system of equations for this problem and determine the number of daytime hours he worked at. 3.3 - Solving Systems of Linear Inequalities

  2. Work on Homework from yesterday Solving Systems of Equations by Graphing Worksheet 3.3 - Solving Systems of Linear Inequalities

  3. Set up page for notes for today Unit 4 Solve Systems of Tues Day 6 Linear Inequalities 10/8/13 3.3 - Solving Systems of Linear Inequalities

  4. of Linear Inequalities Solving Systems Section 3.3 3.3 - Solving Systems of Linear Inequalities

  5. < > < > Recall Greater than Greater than OR equal to Less than Less than OR equal to Dotted Line Solid Line 3.3 - Solving Systems of Linear Inequalities

  6. Example 1 Graph 3.3 - Solving Systems of Linear Inequalities

  7. Example 2 Graph 3.3 - Solving Systems of Linear Inequalities

  8. y< – 3 y ≥–x + 2 Example 3: Graphing Systems of Inequalities Graph the system of inequalities.

  9. Example 4 Graph and find its vertices Vertex: (3, 4) Vertices: (3, 4) (-3, -2) (3, -2) Vertex: (-3, -2) Vertex: (3, -2) 3.3 - Solving Systems of Linear Inequalities

  10. Example 5: Graphing Systems of Inequalities Graph each system of inequalities. y< –3x + 2 y ≥ –1

  11. Example 5 Graph each system of inequalities. determine the shape and its vertices Vertices: (-1, 0) (1, -2) (-1, -2)

  12. Example 5 Vertex: (3, 4) Graph and find its vertices Vertices: (-1, 0) (1, -2) (-1, -2) Vertex: (-3, -2) Vertex: (3, -2) 3.3 - Solving Systems of Linear Inequalities

  13. Example 6 Graph , determine the shape and its vertices Vertices: (-1, 0) (1, -2) (-1, -2) 3.3 - Solving Systems of Linear Inequalities

  14. Example 5 Graph each system of inequalities. y ≤4 2x + y< 1

  15. Example 5 Graph and find the vertices Vertices: (2, 2) (-2, -2) (6, -2) 3.3 - Solving Systems of Linear Inequalities

  16. Example 5 CalculatorOnly works on slope-intercept equations Graph and find the vertices Vertices: (2, 2) (-2, -2) (6, -2) 3.3 - Solving Systems of Linear Inequalities

  17. x> –2 y<1 y>½ x - 2 y ≤ –2x + 3 Example 6 Graph and find the vertices Vertices: (-2, 1) (1, 1) (2, -1) (-2, -3) 3.3 - Solving Systems of Linear Inequalities

  18. Your Turn Graph and find the vertices Vertices: (-1, 0) (2, -2) (-1, -2) 3.3 - Solving Systems of Linear Inequalities

  19. Assignment • Pg 202 11-20, 28-31 all 3.3 - Solving Systems of Linear Inequalities

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