1. Algebra 1 Notes Lesson 7-5 Graphing Systems of Inequalities

2. Mathematics Standards
Patterns, Functions and Algebra: Generalize patterns using functions or relationships, and freely translate among tabular, graphical and symbolic representations.
Patterns, Functions and Algebra: Describe problem situations by using tabular, graphical and symbolic representations.
Patterns, Functions and Algebra: Solve systems of linear inequalities.
Patterns, Functions and Algebra: Solve real-world problems that can by modeled using systems of linear equations and inequalities.

3. Vocabulary
System of Inequalities -
Two Inequalities together
Solution –
Shaded in section of a graph that satisfies BOTH inequalities

4. Steps
Solve both inequalities for “y”
Graph both inequalities
Shade section satisfying both

5. Example 1 Solve the system of inequalities by graphing. y < 2x + 2

6. Example 2 Solve the system of inequalities by graphing. x – y < -1

7. Example 2 Solve the system of inequalities by graphing.
x – y < -1 x – y < -1
x – y > 3

8. Example 2 Solve the system of inequalities by graphing.
x – y < -1 x – y < -1
x – y > – x – x
-y < -x – 1

9. Example 2 Solve the system of inequalities by graphing.
x – y < -1 x – y < -1
x – y > – x – x
-y < -x –
y > x + 1

10. Example 2 Solve the system of inequalities by graphing.
x – y < -1 x – y < x – y > 3
x – y > – x – x
-y < -x –
y > x + 1

11. Example 2 Solve the system of inequalities by graphing.
x – y < -1 x – y < x – y > 3
x – y > – x – x – x – x
-y < -x –
y > x + 1

12. Example 2 Solve the system of inequalities by graphing.
x – y < -1 x – y < x – y > 3
x – y > – x – x – x – x
-y < -x – y > -x
y > x + 1

13. Example 2 Solve the system of inequalities by graphing.
x – y < -1 x – y < x – y > 3
x – y > – x – x – x – x
-y < -x – y > -x
y > x + 1

14. Example 2 Solve the system of inequalities by graphing.
x – y < -1 x – y < x – y > 3
x – y > – x – x – x – x
-y < -x – y > -x
y > x y < x – 3

15. Example 2
y > x y < x – 3 No
Solution

16. Homework
Pg 397
(even) (all)