Basic Mathematics for College Students

20. a. Write the set of integers.

b. Write the set of positive integers.

c. Write the set of negative integers.

21. Fill in the blanks.

a. We read as “is than or to.”

b. We read as “is than or to.”

22. Which of the following expressions contains a
    minus sign?

GUIDED PRACTICE

Graph the following numbers on a number line.See Example 1.

23.

24.

25. The integers that are less than 3 but greater than


26. The integers that are less than 4 but greater than


27. The opposite of , the opposite of 5, and the
    absolute value of


28. The absolute value of 3, the opposite of 3, and the
    number that is 1 less than


29. 2 more than 0, 4 less than 0, 2 more than negative 5,
    and 5 less than 4


30. 4 less than 0, 1 more than 0, 2 less than ,
    and 6 more than

Place an or an symbol in the box to make a true statement.

See Example 2.

31. 5 32. 0


32.  12  6 34.  7  6

 5  1

 

− 5 − 4 − 3 − 2 − 1012345

 4

 2

− 5 − 4 − 3 − 2 − 1012345

− 5 − 4 − 3 − 2 − 1012345

 3

− 5 − 4 − 3 − 2 − 1012345

 2

 3

− 5 − 4 − 3 − 2 − 1012345

 3

− 5 − 4 − 3 − 2 − 1012345

 5

− 5 − 4 − 3 − 2 − 1012345

2, 4, 5, 1,  1

− 5 − 4 − 3 − 2 − 1012345

3, 4, 3, 0,  1

15  8 (15)  15





35. 
    
    
    
    36. 
        
    
    
    
    


36. 
    
    
    
    38. 
        
    
    
    
    

Tell whether each statement is true or false.See Example 3.

39. 
    
    
    
    40. 
        
    
    
    
    


40. 
    
    
    
    42. 
        
    
    
    
    


41. 
    
    
    
    44. 
        
    
    
    
    


42. 
    
    
    
    46. 
        
    
    
    
    

Find each absolute value.See Example 4.

47. 
    
    
    
    48. 
        
    
    
    
    


48. 
    
    
    
    50. 
        
    
    
    
    


49. 
    
    
    
    52. 
        
    
    
    
    


50. 
    
    
    
    54. 
        
    
    
    
    

Simplify each expression.See Example 5.

55. 
    
    
    
    56. 
        
    
    
    
    


56. 
    
    
    
    58. 
        
    
    
    
    


57. 
    
    
    
    60. 
        
    
    
    
    


58. 
    
    
    
    62. 
        
    
    
    
    


59. 
    
    
    
    64. 
        
    
    
    
    


60. 
    
    
    
    66. 
        
    
    
    
    


61. 
    
    
    
    68. 
        
    
    
    
    


62. 
    
    
    
    70. 
        
    
    
    
    

TRY IT YOURSELF

Place an or an symbol in the box to make a true statement.

71. 
    
    
    
    72. 
        
    
    
    
    


72. 
    
    
    
    74. 
        
    
    
    
    


73. 
    
    
    
    76. 
        
    
    
    
    


74. 
    
    
    
    78. 
        
    
    
    
    

Write the integers in order, from least to greatest.

79. 82, , 52, , 12,


80. 49, , 19, , 89,

Fill in the blanks to continue each pattern.

81. 5, 3, 1, , , ,


82. 4, 2, 0, , , ,

APPLICATIONS

83. HORSE RACING In the 1973 Belmont Stakes,
    Secretariatwon by 31 lengths over second place
    finisher,Twice a Prince.Some experts call it the
    greatest performance by a thoroughbred in the

 2 ,...

 1 ,...

 9  39  49

 52  22  12

 0  300  0 (8) 0  0  1000  0 (88) 0

(343) (161) (999) (998)

 0  710  0  650  0  1630  0  1500

0  120 (7) 0  500 (40)

 

 0  00  0970

 0  2530  0  110

 060  000

 0200  01430

(561) (703)

(102) (295)

(4) (9)

(11) (1)

01800 03710

0  140 0  850

0  80 0  10

090 0120

0  8  6  6

1,2551,254 6,5466,465

210  210 37  37

 15  14  77  76

 325  532  401  104

 10  17  11  20

140 Chapter 2 The Integers