Intermediate Algebra (11th edition)

109. 
     
     
     
     111. 
          
     
     
     
     

113.Iowa (IA), Ohio (OH), Pennsylvania (PA) 115.

Section 1.2 (pages 20–23)

1.additive inverses; 3.negative;

5.greater; 7.the number with lesser absolute

value is subtracted from the one with greater absolute value;

9.negative; 11.

13. 9 15. 17. 19. 21. 21 23.


14. 
    
    
    
    27. 
        
        
        
        29. 14 31. 33. 35. 37. 16
        
        
        
        
    
    
    
    


15. 
    
    
    
    41. 8 43.3.018 45. 47. 49. 1 51. 6
    
    
    
    


16. or 55.It is true for multiplication (and division). It is false
    for addition and subtraction when the number to be subtracted has the
    lesser absolute value. A more precise statement is, “The product or quo-
    tient of two negative numbers is positive.” 57. 59. 40 61. 2


17. 
    
    
    
    65. 
        
        
        
        67. 1 69.5.88 71. 73. 75. 6
        
        
        
        
    
    
    
    


18. 
    
    
    
    79. 0 81.undefined 83. 85. 87.
        89.10,000 91. 93. 95. 97. 99. 101.
    
    
    
    


19. 
    
    
    
    105. 
         
         
         
         107. 
              
              
              
              109. 
                   
                   
                   
                   111. 
                        
                   
                   
                   
                   
              
              
              
              
         
         
         
         
    
    
    
    


20. 4800 115.51.495 117.112°F 119.$30.13


21. (a)$466.02 (b)$190.68 123. (a) thousand
    (b)$262 thousand (c) thousand 125. (a)2000: $129 billion;
    2010: $206 billion; 2020: $74 billion; 2030: billion (b)The
    cost of Social Security will exceed revenue in 2030 by $501 billion.

Section 1.3 (pages 29–31)

1.false; 3.true 5.true 7.true 9.false; The base

is 8. 11. (a) 64 (b) (c) 64 (d) 13. 15.

17. 
    
    
    
    19. 
        
        
        
        21. 16 23.0.021952 25. 27.
        
        
        
        
    
    
    
    


18. 
    
    
    
    31. 256 33. 35. 37. 9 39. 13
    
    
    
    


19. 
    
    
    
    43. 
        
        
        
        45. 47.not a real number 49. (a)B
            (b)C (c)A 51.negative 53. 24 55. 15 57. 55 59.
        
        
        
        
    
    
    
    


20. 
    
    
    
    63. 
        
        
        
        65. 
            
            
            
            67. 
                
                
                
                69. 
                    
                    
                    
                    71. 2
                    
                    
                    
                    
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    


21. 75.undefined 77. 79. 81. 17 83.


22. 
    
    
    
    87. 8 89. 91. 93. 95.$1572
        97.$3296 99.0.035 101. (a)$19.4 billion (b)$30.8 billion
        (c)$42.3 billion (d)The amount spent on pets more than doubled
        from 1996 to 2008.
    
    
    
    

Section 1.4 (pages 37–38)

1.B 3.A 5.product; 0 7.grouping 9.like 11.

13. 
    
    
    
    15. 8 k 17. 19.cannot be simplified
    
    
    
    


14. 8 a 23.- 2 d+ƒ 25.x+y 27.- 6 y+ 3 29.p+ 11
    
    
    • 12 x+ 12 y - 2 r
    
    
    
    

2 m+ 2 p

• 23815 - 165 - 2.75 - 163
  
  
  • 2 - 7 - 1 - 96
  
  
  • 8 - 48 - 2 - 79 - 10
    
    
    • 91
    
    
    
    
  
  
  • 20 1011 - 0.7
  
  
  • 125 - 729 - 4096
  
  
  
  

256

625

1

z 125

1 - 923 7

• 
  

  64 - (^64104) A^34 B^5

  
  


• 
  

  76 =- 1762

  
  
  
  
  • $501
  
  
  
  


• 
  

  $83

  
  


• 
  

  $475
  -^3527 -^49 - 12.351 -15.876 -4.14

  
  

3

• 5
  2


• 15
  22


• 45
  19
  24

17

36

17

18

• 4 10225 - 139 - 2.1


• 12 65 - 10.676 - 7
  
  
  • 35
  
  
  
  

(^132) , (^6 12)

• 4 -^74 -^78


• 10.18^6730 - 5 - 6 - 11
  -^1912 - 1.85 - 11 - 13


• 15 - 1 - 32 =- 12 - 51152 =- 75 - 19

15 + 1 - 22 = 13

4 + 1 - 42 = 0 - 7 + 1 - 212 =- 28

x 6 y

1 - 4, 3 4 1 0, 3 4

A-1

In this section, we provide the answers that we think most students will

obtain when they work the exercises using the methods explained in the
text. If your answer does not look exactly like the one given here, it is not

necessarily wrong. In many cases, there are equivalent forms of the answer
that are correct. For example, if the answer section shows and your answer

is 0.75, you have obtained the right answer, but written it in a different (yet
equivalent) form. Unless the directions specify otherwise, 0.75 is just as

valid an answer as
In general, if your answer does not agree with the one given in the

text, see whether it can be transformed into the other form. If it can, then it
is the correct answer. If you still have doubts, talk with your instructor. You

might also want to obtain a copy of the Student’s Solutions Manualthat
goes with this book. Your college bookstore either has this manual or can

order it for you.

REVIEW OF THE REAL NUMBER SYSTEM

Section 1.1 (pages 11–14)

1. 
   
   
   
   3. 
      
      
      
      5. 
         
      
      
      
      
   
   
   
   


2. 
   
   
   
   9. 
      
      
      
      11. 
          
      
      
      
      
   
   
   
   

In Exercises 13 and 15, we give one possible answer.
13.

15. 
    

17. 
    
    
    
    19. 
        
    
    
    
    


18. (a)8, 13, (or 15) (b)0, 8, 13, (c) , 0, 8, 13,
    (d) , , 0, , 8, , 13, (e) , (f )All are real

numbers. 23.yes 25.false; Some are whole numbers, but negative
integers are not. 27.false; No irrational number is an integer.

29.true 31.true 33.true 35. (a)A (b)A (c)B (d)B

37. (a) (b) 6 39. (a) 12 (b) 12 41. (a) (b) 43. 8


38. 
    
    
    
    47. 
        
        
        
        49. 
            
            
            
            51. 
                
                
                
                53. 5 55. 6 57. 0
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    


39. (a)Las Vegas; The population increased by 35.6%.(b)Detroit;

The population decreased by 0.6%. 61.Pacific Ocean, Indian Ocean,
Caribbean Sea, South China Sea, Gulf of California 63.true 65.true

67.false 69.true 71.true 73. 75.

77. 
    
    
    
    79. 
        
        
        
        81. 
            
            
            
            83. 
                
            
            
            
            
        
        
        
        
    
    
    
    


78. 
    
    
    
    87. 
        
        
        
        89. 
            
        
        
        
        
    
    
    
    


79. 
    
    
    
    93. ; true 95. ; true
    
    
    
    


80. ; true 99. ; false


81. 
    
    
    
    103. 
         
    
    
    
    


82. 1 0, 3.5 2 107. 3 2, 7 4

1 - 1, q 2 1 - q, 6 4

• 3 Ú- 3 - 8 7- 6


• 3 ... 3 x 64 - 6610 10 Ú 10

3 t- 4 ... 10 5 x+ 3 Z 0 - 36 t 65

• 10 6- 5 x 70 77 y 5 Ú 5

266 4 7- 9

(^32) - 5 - 2 - 4.5
6

• 
  

  5
  6

  
  


• 
  

  (^65)

  
  


• 
  

  9 - 0.7 76 4.6,^212755 -  6  7

  
  

75

• (^95)
  75
  5
  75
  5
  5 x|x is a multiple of 4 greater than 0 6
  5 x|x is an even natural number lessthan or equal to 8 6
  5 10, 12, 14, 16,Á 6 0 5 - 4, 4 6
  5 1, 2, 3, 4, 5 6 5 5, 6, 7, 8,Á 6 5 Á, -1, 0, 1, 2, 3, 4 6

1

3

4.

3

4

Answers to Selected Exercises

–6–4–20246 –1012345

5.2

6

5

5

6

13

4

11

• 2
  1


• 4

–1 0 06

0 3.5 02 7

–4 0 3 0 3