1. Sets Page 746

2. A set is a collection of objects.

3. A set is a collection of objects.

4. A set is a collection of objects.

5. A set is a collection of objects.

6. A set is a collection of objects.

7. A set is a collection of objects.

8. A set is a collection of objects.

9. A set is a collection of objects.

10. A set is a collection of objects.

11. A set is a collection of objects.

12. The objects or members of a set are called elements of the set.

13. The objects or members of a set are called elements of the set.

14. The objects or members of a set are called elements of the set.

15. The objects or members of a set are called elements of the set.

16. The objects or members of a set are called elements of the set.

17. The objects or members of a set are called elements of the set.

18. The objects or members of a set are called elements of the set.

19. The objects or members of a set are called elements of the set.

20. The objects or members of a set are called elements of the set.

21. A set with a fixed number of elements

22. A set with a fixed number of elements such as

23. A set with a fixed number of elements such as {1, 2, 3}

24. A set with a fixed number of elements such as {1, 2, 3} is called a finite set.

25. A set without a fixed number of elements is called an infinite set.

26. A set without a fixed number of elements is called an infinite set.
The set of natural numbers is written as

27. A set without a fixed number of elements is called an infinite set.
The set of natural numbers is written as

28. A set without a fixed number of elements is called an infinite set.
The set of natural numbers is written as

29. A set without a fixed number of elements is called an infinite set.
The set of natural numbers is written as

30. A set without a fixed number of elements is called an infinite set.
The set of natural numbers is written as

31. A set without a fixed number of elements is called an infinite set.
The set of natural numbers is written as

32. A set without a fixed number of elements is called an infinite set.
The set of natural numbers is written as

34. The Roster Method of writing sets requires that we

35. The Roster Method of writing sets requires that we
designate the set with a capital letter and

36. The Roster Method of writing sets requires that we
designate the set with a capital letter and
that we enclose the elements inside braces.

37. The set of natural numbers between 3 and 10 is written as

38. The set of natural numbers between 3 and 10 is written as

39. The set of natural numbers between 3 and 10 is written as

40. The set of natural numbers between 3 and 10 is written as

41. The set of natural numbers between 3 and 10 is written as

42. The set of natural numbers between 3 and 10 is written as

43. The set of natural numbers between 3 and 10 is written as

44. The set of natural numbers between 3 and 10 is written as

45. The set of natural numbers between 3 and 10 is written as

46. The set of natural numbers between 3 and 10 is written as

47. The set of whole numbers is written as

48. The set of whole numbers is written as

49. The set of whole numbers is written as

50. The set of whole numbers is written as

51. The set of whole numbers is written as

52. The set of whole numbers is written as

53. The set of whole numbers is written as

54. The set of whole numbers is written as

55. The set of whole numbers is written as

56. The set containing no numbers is called the empty set or the null set written as

57. The set containing no numbers is called the empty set or the null set written as

58. The set containing no numbers is called the empty set or the null set written as

60. The symbol  means “is an element of.”

61. The symbol  means “is an element of.”
The symbol  means is not a member of a set.

62. Two sets are equal if they contain exactly the same members.

63. Two sets are equal if they contain exactly the same members.
For sets that are not equal we use the symbol 

64. Set-builder notation is another method of describing sets.

65. Set-builder notation is another method of describing sets.
A variable is a letter that is used to stand for some number.

66. B = {1, 2, 3, …, 24} can be written in set builder notation as

67. B = {1, 2, 3, …, 24} can be written in set builder notation as

68. B = {1, 2, 3, …, 24} can be written in set builder notation as

69. B = {1, 2, 3, …, 24} can be written in set builder notation as

70. B = {1, 2, 3, …, 24} can be written in set builder notation as
B={x

71. B = {1, 2, 3, …, 24} can be written in set builder notation as
B={x|

72. B = {1, 2, 3, …, 24} can be written in set builder notation as
B={x| x is a natural number

73. B = {1, 2, 3, …, 24} can be written in set builder notation as
B={x| x is a natural number less than 25}

74. Let A = {1, 2, 3, 5}

75. Let A = {1, 2, 3, 5} and
B={x| x is a natural number less than 10}

76. Let A = {1, 2, 3, 5} and
B={x| x is a natural number less than 10}
True or False

77. Let A = {1, 2, 3, 5} and
B={x| x is a natural number less than 10}
True or False
3 A

78. Let A = {1, 2, 3, 5} and
B={x| x is a natural number less than 10}
True or False
5B

79. Let A = {1, 2, 3, 5} and
B={x| x is a natural number less than 10}
True or False
4A

80. Let A = {1, 2, 3, 5} and
B={x| x is a natural number less than 10}
True or False
A=N

81. Let A = {1, 2, 3, 5} and
B={x| x is a natural number less than 10}
True or False
B={2, 4, 6, 8}

82. B={x| x is a natural number less than 10} True or False
Let A = {1, 2, 3, 5} and
B={x| x is a natural number less than 10}
True or False
A={x| x is a natural number less than 6}

84. If A and B are sets, the union of A and B,

85. If A and B are sets, the union of A and B, denoted AUB,

86. If A and B are sets, the union of A and B, denoted AUB,
is the set of all elements that are either in A, in B, or in both.

87. If A and B are sets, the union of A and B, denoted AUB,
is the set of all elements that are either in A, in B, or in both.
AUB={x| x A or x B}

88. Venn Diagram of AUB A B

89. Let A = {0, 2, 3}

90. Let A = {0, 2, 3} B = {2, 3, 7}

91. Let A = {0, 2, 3} B = {2, 3, 7}
C = (7, 8}

92. Let A = {0, 2, 3} B = {2, 3, 7}
C = (7, 8}
List the elements in AUB

93. Let A = {0, 2, 3} B = {2, 3, 7}
C = (7, 8}
List the elements in AUB
{0,

94. Let A = {0, 2, 3} B = {2, 3, 7}
C = (7, 8}
List the elements in AUB
{0, 2,

95. Let A = {0, 2, 3} B = {2, 3, 7}
C = (7, 8}
List the elements in AUB
{0, 2, 3,

96. Let A = {0, 2, 3} B = {2, 3, 7}
C = (7, 8}
List the elements in AUB
{0, 2, 3, 7}

97. Let A = {0, 2, 3} B = {2, 3, 7}
C = (7, 8}

98. Let A = {0, 2, 3} B = {2, 3, 7}
C = (7, 8}
List the elements in AUC

99. Let A = {0, 2, 3} B = {2, 3, 7}
C = (7, 8}
List the elements in AUC
{0,

100. Let A = {0, 2, 3} B = {2, 3, 7}
C = (7, 8}
List the elements in AUC
{0, 2,

101. Let A = {0, 2, 3} B = {2, 3, 7}
C = (7, 8}
List the elements in AUC
{0, 2, 3,

102. Let A = {0, 2, 3} B = {2, 3, 7}
C = (7, 8}
List the elements in AUC
{0, 2, 3, 7,

103. Let A = {0, 2, 3} B = {2, 3, 7}
C = (7, 8}
List the elements in AUC
{0, 2, 3, 7, 8}

105. If A and B are sets,

106. If A and B are sets, the intersection of A and B,

107. If A and B are sets, the intersection of A and B, denoted AB,

108. If A and B are sets, the intersection of A and B, denoted AB, is the set of all elements that are in both A and B.

109. If A and B are sets, the intersection of A and B, denoted AB, is the set of all elements that are in both A and B.
A  B={x| x A and x B}

110. Venn Diagram of AB

111. Venn Diagram of AB

112. Let A = {0, 2, 3}

113. Let A = {0, 2, 3} B = {2, 3, 7}

114. Let A = {0, 2, 3} B = {2, 3, 7}
C = (7, 8}

115. Let A = {0, 2, 3} B = {2, 3, 7}
C = (7, 8}
List the elements in A  B

116. Let A = {0, 2, 3} B = {2, 3, 7}
C = (7, 8}
List the elements in A  B
{2,

117. Let A = {0, 2, 3} B = {2, 3, 7}
C = (7, 8}
List the elements in A  B
{2, 3}

118. Let A = {0, 2, 3} B = {2, 3, 7}
C = (7, 8}
List the elements in B  C

119. Let A = {0, 2, 3} B = {2, 3, 7}
C = (7, 8}
List the elements in B  C
{7}

120. Let A = {0, 2, 3} B = {2, 3, 7}
C = (7, 8}
List the elements in A  C

121. Let A = {0, 2, 3} B = {2, 3, 7}
C = (7, 8}
List the elements in A  C {}

122. Let A = {1, 2, 3, 4, 5}

123. Let A = {1, 2, 3, 4, 5}
B = {2, 3, 7, 8}

124. Let A = {1, 2, 3, 4, 5}
B = {2, 3, 7, 8}
C = (6, 7, 8, 9}

125. Let A = {1, 2, 3, 4, 5}
B = {2, 3, 7, 8}
C = (6, 7, 8, 9}
A  B

126. Let A = {1, 2, 3, 4, 5}
B = {2, 3, 7, 8}
C = (6, 7, 8, 9}
5  A  B

127. Let A = {1, 2, 3, 4, 5}
B = {2, 3, 7, 8}
C = (6, 7, 8, 9}
A U B

128. Let A = {1, 2, 3, 4, 5}
B = {2, 3, 7, 8}
C = (6, 7, 8, 9}
5  A U B

129. Let A = {1, 2, 3, 4, 5}
B = {2, 3, 7, 8}
C = (6, 7, 8, 9}
A  B =

130. Let A = {1, 2, 3, 4, 5}
B = {2, 3, 7, 8}
C = (6, 7, 8, 9}
A  B = {2,

131. Let A = {1, 2, 3, 4, 5}
B = {2, 3, 7, 8}
C = (6, 7, 8, 9}
A  B = {2, 3}

132. Let A = {1, 2, 3, 4, 5}
B = {2, 3, 7, 8}
C = (6, 7, 8, 9}
A U B =

133. Let A = {1, 2, 3, 4, 5}
B = {2, 3, 7, 8}
C = (6, 7, 8, 9}
A U B = {1,

134. Let A = {1, 2, 3, 4, 5}
B = {2, 3, 7, 8}
C = (6, 7, 8, 9}
A U B = {1, 2,

135. Let A = {1, 2, 3, 4, 5}
B = {2, 3, 7, 8}
C = (6, 7, 8, 9}
A U B = {1, 2, 3,

136. Let A = {1, 2, 3, 4, 5}
B = {2, 3, 7, 8}
C = (6, 7, 8, 9}
A U B = {1, 2, 3, 4,

137. Let A = {1, 2, 3, 4, 5}
B = {2, 3, 7, 8}
C = (6, 7, 8, 9}
A U B = {1, 2, 3, 4, 5,

138. Let A = {1, 2, 3, 4, 5}
B = {2, 3, 7, 8}
C = (6, 7, 8, 9}
A U B = {1, 2, 3, 4, 5, 7,

139. Let A = {1, 2, 3, 4, 5}
B = {2, 3, 7, 8}
C = (6, 7, 8, 9}
A U B = {1, 2, 3, 4, 5, 7, 8}

141. The cardinal number of a set A indicates the number of elements in the set A.

142. The cardinal number of a set A indicates the number of elements in the set A.
n(A) is the cardinal number of set A.

147. The universal set U is defined as the set that consists of all elements under consideration.
We usually denote the universal set with a capital U.

148. The compliment of a set A is the set of all elements that are in the universal set U, but not in A. The compliment of a set A is denoted as

158. Sets Page 748 # 1 -30