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Graphing Systems of Linear Inequalities in Two Variables

Learn how to write, graph, and solve systems of linear inequalities. Practice examples provided.

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Graphing Systems of Linear Inequalities in Two Variables

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  1. 5 minutes Warm-Up 1) Graph y < -x + 1 2) Graph the system.

  2. 5.7 Systems of Linear Inequalities Objectives: Write and graph a system of linear inequalities in two variables Write a system of linear inequalities in two variables for a given solution region

  3. 8 6 4 2 6 8 -2 -8 -6 -4 2 4 -2 -4 -6 -8 Example 1 Graph the system.

  4. 8 6 4 2 6 8 -2 -8 -6 -4 2 4 -2 -4 -6 -8 Example 2 Graph the system.

  5. 8 6 4 2 6 8 -2 -8 -6 -4 2 4 -2 -4 -6 -8 Example 2 Graph the system.

  6. Practice Graph the system. 1)

  7. 8 6 4 2 6 8 -2 -8 -6 -4 2 4 -2 -4 -6 -8 Example 3 Write the system of inequalities graphed below. x < 3 y < 2x + 6

  8. 8 6 4 2 6 8 -2 -8 -6 -4 2 4 -2 -4 -6 -8 Example 4 Graph the linear inequality.

  9. 8 6 4 2 6 8 -2 -8 -6 -4 2 4 -2 -4 -6 -8 Example 4 Graph the linear inequality.

  10. 8 6 4 2 6 8 -2 -8 -6 -4 2 4 -2 -4 -6 -8 Example 5 Graph the linear inequality.

  11. 8 6 4 2 6 8 -2 -8 -6 -4 2 4 -2 -4 -6 -8 Example 5 Graph the linear inequality.

  12. Practice Graph the linear inequality. 1) -2 < x < 4 2) -3 < y < 5

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