The document provides examples and steps for solving systems of inequalities and linear equations. It discusses graphing a single inequality, the steps for graphing systems of inequalities, and provides an example of solving a two-variable linear system of inequalities. Sample problems include determining the number of hours until costs are the same for two plumbing companies and graphing the inequality y < 5x + 1.

2. Warm Up, Part I
Number Sense:
Capacity

5. 3. During the college football season, this
stadium sells out every weekend.
What is the seating capacity of this stadium?
Round to the nearest 1,000

6. 4. How many people does this Stadium hold?
Round to the nearest 1,000

7. 5. How many passengers can this plane carry?
Round to nearest 10

10. How many of these..
Can fit it this..

13. 3. During the college football season, this
stadium sells out every weekend.
What is the seating capacity of this stadium?
Round to the nearest 1,000

14. 4. How many people does this Stadium hold?
Round to the nearest 1,000

15. 5. How many passengers can this plane carry?
Round to nearest 10

17. Answer:
1,900 miles

18. ≈ 20,000

19. Write the equations and determine the
best method for solving.
Warm-Up: Systems of Equations:(2)

20. Larson Plumbing charges $36/hr. labor and a $40
inspection fee for plumbing repair.
Drain Masters charges no inspection fee and
$44/hr. labor for the same work.
1) After how many hours of work will the
costs be the same?
2) What is the cost for both companies for
the hours calculated above?

22. Graph the inequality: y < 5x + 1
Graphing Systems of Inequalities(3)
Let’s start by graphing a single inequality:

23. Class Notes: Systems of Inequalities(3)
 ,
 ,
• Steps to Graphing Linear System Inequalities

24. Class Notes: Systems of Inequalities(3)
• Steps to Graphing Linear System Inequalities
, 
, 

25. 2
1
3
4
5
3
y x
y x

 

   

Ex.
2
3
m  1b  
4
3
m   5b 
Class Notes: Systems of Inequalities

26. 1
5
2
3 2
y x
y x

 

   
1
2
m  5b 
3
1
m   2b  

27. y < x - 1
y < -x + 1
Solving Systems of Inequalities