Beginning Algebra, 11th Edition

SECTION 4.5 Solving Systems of Linear Inequalities^285

EXERCISES 25 – 28

Match each system of inequalities with its solution set. See the Connections box.

A. B.

C. D.

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19. 20.

x...- 2

x- 2 yÚ 4

xÚ- 4

x- 3 y... 6

11. 12. 13.

x- 2 y 74

4 x+ 3 y 66

y7- 2 x+ 4

xÚ 2 y+ 6

x 63 y+ 2

y... 2 x- 5

14. 15. 16.

x+y 70

x... 4 y+ 3

x+y 60

x... 2 y+ 3

x+ 2 y 62

3 x+ y 74

21. 22. 23. 24.

y 64

x 64

x+y 73

2 x- 3 y 66

yÚ- 4

xÚ 0

x+y... 4

3 x- 2 yÚ 6

y... 3

x-y... 3

x+yÚ- 3

x7- 4

y7- 2

4 x+ 5 y 68

Graph the solution set of each system. See Example 3.

17. 18.

4 x+ 6 y 718

2 x+ 3 y 66

6 x- 2 yÚ- 10

• 3 x+ yÚ 1

–10

–10

10

10 –10

–10

10

10

–10

–10

10

(^10) –10
–10
10
10

25.

y... 2 x- 3

yÚx 26.

yÚ 2 x- 3

y...x 27.

y... 2 x- 3

yÚ-x 28.

yÚ 2 x- 3

y...-x

Evaluate each expression. See Section 1.2.

29. 
    
    
    
    30. 
        
        
        
        31. 
            
        
        
        
        
    
    
    
    


30. 
    
    
    
    33. 
        
        
        
        34. 
            
        
        
        
        
    
    
    
    

5

8

#^5

8

2

3

#^2

3

#^2

3

4 # 4 # 4 # 4 # 4

2 # 2 # 2 # 2 # 2 # 2 3 # 3 # 3 5 # 5 # 5 # 5

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