Question 1

Let U = {all soda pops}, A = {all diet soda pops}, B = {all cola soda pops}, C = {all soda pops in cans}, and D = {all caffeine-free soda pops}. Describe the set in words.
-$A \cap B$

Accepted Answer

A)  All soda pops 
B)  All diet and all cola soda pops 
C)  All diet cola soda pops 
D)  All diet or all cola soda pops 
A)  All soda pops 
B)  All diet and all cola soda pops 
C)  All diet cola soda pops 
D)  All diet or all cola soda pops

Question 2

Let U = {all soda pops}, A = {all diet soda pops}, B = {all cola soda pops}, C = {all soda pops in cans}, and D = {all caffeine-free soda pops}. Describe the set in words.
-$( A \cup B ) \cup D$

Accepted Answer

A)  All diet and all cola and all caffeine-free 
B)  All soda pops not in cans soda pops 
C)  All soda pops 
D)  All diet, caffeine-free cola soda pops 
A)  All diet and all cola and all caffeine-free 
B)  All soda pops not in cans soda pops 
C)  All soda pops 
D)  All diet, caffeine-free cola soda pops

Question 3

List all subsets or determine the number of subsets as requested.
-Determine the number of subsets of {4, 5, 6}

Accepted Answer

A)  6 
B)  8 
C)  3 
D)  7 
A)  6 
B)  8 
C)  3 
D)  7

Question 4

Determine whether the number used is a cardinal or an ordinal number.
-Max placed fourteenth in the cross country race.

Accepted Answer

A)  Ordinal 
B)  Cardinal 
A)  Ordinal 
B)  Cardinal

Question 5

Let A = {1, 3, 5, 7}
B = {5, 6, 7, 8}
C = {5, 8}
D = {2, 5, 8}
U = {1, 2, 3, 4, 5, 6, 7, 8}.
Determine whether the statement is true or false.
-A ≠ {7, 5, 3, 1}

Accepted Answer

A)  False; A has different elements than those listed. 
B)  True 
C)  False; the elements in A are the same as those listed. 
D)  False; the elements in A are in a different order. 
A)  False; A has different elements than those listed. 
B)  True 
C)  False; the elements in A are the same as those listed. 
D)  False; the elements in A are in a different order.

Question 6

Use $ \subseteq, \nsubseteq, \subset $, or both $ \subset $ and $ \subseteq$ to make a true statement.
-$$\{ 11,12,13 \} ....... \{ 10,11,12,13 \}$$

Accepted Answer

A)  $\nsubseteq$ 
B)  $\subseteq$ 
C)  $\subset$ 
D)  $\subset$ and $\subseteq$ 
A)  $\nsubseteq$ 
B)  $\subseteq$ 
C)  $\subset$ 
D)  $\subset$ and $\subseteq$

Question 7

Determine whether the number used is a cardinal or an ordinal number.
-Move the box to the fifth floor.

Accepted Answer

A)  Cardinal 
B)  Ordinal 
A)  Cardinal 
B)  Ordinal

Question 8

If the statement is true for all sets C and D, write ʺtrue.ʺ If it is not true for all sets C and D, write ʺfalse.ʺ Assume that $ C \not = \varnothing $,and $ C \subset U$.
-$D \subseteq D$

Accepted Answer

A) True 
 B)False

Question 9

Determine whether the set is well defined or not well defined.
-The set of U.S. state flags which display depictions of stars

Accepted Answer

A)  well defined 
B)  not well defined 
A)  well defined 
B)  not well defined

Question 10

Express the set in roster form.
-{x|x is a whole number between 6 and 10}

Accepted Answer

A)  {6, 7, 8, 9, 10} 
B)  {7, 8, 9} 
C)  {6, 7, 8, 9} 
D)  {7, 8, 9, 10} 
A)  {6, 7, 8, 9, 10} 
B)  {7, 8, 9} 
C)  {6, 7, 8, 9} 
D)  {7, 8, 9, 10}

Question 11

Write the set in set-builder notation.
-{16, 17, 18, 19}

Accepted Answer

A)  {x | x is an integer between 16 and 19} 
B)  {x | x is an integer less than 20} 
C)  {16, 17, 18, 19} 
D)  {x | x is an integer between 15 and 20} 
A)  {x | x is an integer between 16 and 19} 
B)  {x | x is an integer less than 20} 
C)  {16, 17, 18, 19} 
D)  {x | x is an integer between 15 and 20}

Question 12

Identify the set as finite or infinite
-{8, 9, 10, . . ., 32}

Accepted Answer

A)  Finite 
B)  Infinite 
A)  Finite 
B)  Infinite

Question 13

Determine whether the sets are equal, equivalent, both, or neither.
-{first, second, third} and {1, 2, 3}

Accepted Answer

A)  Equal 
B)  Both 
C)  Neither 
D)  Equivalent 
A)  Equal 
B)  Both 
C)  Neither 
D)  Equivalent

Question 14

If the statement is true for all sets C and D, write ʺtrue.ʺ If it is not true for all sets C and D, write ʺfalse.ʺ Assume that $ C \not = \varnothing $,and $ C \subset U$.
-$\mathrm { U } \subseteq \varnothing$

Accepted Answer

A) True 
 B)False

Question 15

If the statement is true for all sets C and D, write ʺtrue.ʺ If it is not true for all sets C and D, write ʺfalse.ʺ Assume that $ C \not = \varnothing $,and $ C \subset U$.
-$ \varnothing \subseteq C $

Accepted Answer

A) True 
 B)False

Question 16

Let A = {1, 3, 5, 7}
B = {5, 6, 7, 8}
C = {5, 8}
D = {2, 5, 8}
U = {1, 2, 3, 4, 5, 6, 7, 8}.
Determine whether the statement is true or false.
-C ⊆ D

Accepted Answer

A)  False; D is a subset of C. 
B)  True 
C)  False; C is not a subset of D. 
D)  False; the elements are the same in C and D. 
A)  False; D is a subset of C. 
B)  True 
C)  False; C is not a subset of D. 
D)  False; the elements are the same in C and D.

Question 17

List all subsets or determine the number of subsets as requested.
-Determine the number of subsets of {1, 2, 3, ..., 6}

Accepted Answer

A)  128 
B)  60 
C)  64 
D)  16 
A)  128 
B)  60 
C)  64 
D)  16

Question 18

Solve the problem.
-Use the following graph which shows the number of customer service calls to a major appliance Manufacturer, in millions, for the years 2006-2012. Use the graph to represent the set in roster Form.  
The set of years in which the number of customer service calls were below 1.1 million.

Accepted Answer

A)  {2009, 2010, 2012} 
B)  {2009, 2012} 
C)  {2008, 2009, 2012} 
D)  {2012} 
A)  {2009, 2010, 2012} 
B)  {2009, 2012} 
C)  {2008, 2009, 2012} 
D)  {2012}

Question 19

Write a description of the set.
-D = {January, February, March, April, May, June, July, August, . . .}

Accepted Answer

A)  Set D is the set of time zones in America. 
B)  Set D is the set of the months in a year. 
C)  Set D is the set of seasons. 
D)  Set D is the set of days in a week. 
A)  Set D is the set of time zones in America. 
B)  Set D is the set of the months in a year. 
C)  Set D is the set of seasons. 
D)  Set D is the set of days in a week.

Question 20

Determine whether the number used is a cardinal or an ordinal number.
-Halʹs birthday is on February fifteenth.

Accepted Answer

A)  Ordinal 
B)  Cardinal 
A)  Ordinal 
B)  Cardinal

Let U = {all soda pops}, A = {all diet soda pops}, B = {all cola soda pops}, C = {all soda pops in cans}, and D = {all caffeine-free soda pops}. Describe the set in words. - $A \cap B$

Let U = {all soda pops}, A = {all diet soda pops}, B = {all cola soda pops}, C = {all soda pops in cans}, and D = {all caffeine-free soda pops}. Describe the set in words. - $( A \cup B ) \cup D$

List all subsets or determine the number of subsets as requested. -Determine the number of subsets of {4, 5, 6}

Determine whether the number used is a cardinal or an ordinal number. -Max placed fourteenth in the cross country race.

Let A = {1, 3, 5, 7} B = {5, 6, 7, 8} C = {5, 8} D = {2, 5, 8} U = {1, 2, 3, 4, 5, 6, 7, 8}. Determine whether the statement is true or false. -A ≠ {7, 5, 3, 1}

Use $\subseteq, \nsubseteq, \subset$ , or both $\subset$ and $\subseteq$ to make a true statement. - $\{ 11,12,13 \} ....... \{ 10,11,12,13 \}$

Determine whether the number used is a cardinal or an ordinal number. -Move the box to the fifth floor.

If the statement is true for all sets C and D, write ʺtrue.ʺ If it is not true for all sets C and D, write ʺfalse.ʺ Assume that $C \not = \varnothing$ ,and $C \subset U$ . - $D \subseteq D$

Determine whether the set is well defined or not well defined. -The set of U.S. state flags which display depictions of stars

Express the set in roster form. -{x|x is a whole number between 6 and 10}

Write the set in set-builder notation. -{16, 17, 18, 19}

Identify the set as finite or infinite -{8, 9, 10, . . ., 32}

Determine whether the sets are equal, equivalent, both, or neither. -{first, second, third} and {1, 2, 3}

If the statement is true for all sets C and D, write ʺtrue.ʺ If it is not true for all sets C and D, write ʺfalse.ʺ Assume that $C \not = \varnothing$ ,and $C \subset U$ . - $\mathrm { U } \subseteq \varnothing$

If the statement is true for all sets C and D, write ʺtrue.ʺ If it is not true for all sets C and D, write ʺfalse.ʺ Assume that $C \not = \varnothing$ ,and $C \subset U$ . - $\varnothing \subseteq C$

Let A = {1, 3, 5, 7} B = {5, 6, 7, 8} C = {5, 8} D = {2, 5, 8} U = {1, 2, 3, 4, 5, 6, 7, 8}. Determine whether the statement is true or false. -C ⊆ D

List all subsets or determine the number of subsets as requested. -Determine the number of subsets of {1, 2, 3, ..., 6}

Write a description of the set. -D = {January, February, March, April, May, June, July, August, . . .}

Determine whether the number used is a cardinal or an ordinal number. -Halʹs birthday is on February fifteenth.

Critical Thinking Skills

Logic

Systems of Numeration

Number Theory and the Real Number System

Algebra, Graphs, and Functions

The Metric System

Geometry

Consumer Mathematics

Probability

Voting and Apportionment

Filters

Exam 2: Sets

Let U = {all soda pops}, A = {all diet soda pops}, B = {all cola soda pops}, C = {all soda pops in cans}, and D = {all caffeine-free soda pops}. Describe the set in words. - A∩BA \cap BA∩B

Let U = {all soda pops}, A = {all diet soda pops}, B = {all cola soda pops}, C = {all soda pops in cans}, and D = {all caffeine-free soda pops}. Describe the set in words. - (A∪B)∪D( A \cup B ) \cup D(A∪B)∪D

List all subsets or determine the number of subsets as requested. -Determine the number of subsets of {4, 5, 6}

Determine whether the number used is a cardinal or an ordinal number. -Max placed fourteenth in the cross country race.

Let A = {1, 3, 5, 7} B = {5, 6, 7, 8} C = {5, 8} D = {2, 5, 8} U = {1, 2, 3, 4, 5, 6, 7, 8}. Determine whether the statement is true or false. -A ≠ {7, 5, 3, 1}

Use ⊆,⊈,⊂ \subseteq, \nsubseteq, \subset ⊆,⊈,⊂ , or both ⊂ \subset ⊂ and ⊆ \subseteq⊆ to make a true statement. - {11,12,13}.......{10,11,12,13}\{ 11,12,13 \} ....... \{ 10,11,12,13 \}{11,12,13}.......{10,11,12,13}

Determine whether the number used is a cardinal or an ordinal number. -Move the box to the fifth floor.

If the statement is true for all sets C and D, write ʺtrue.ʺ If it is not true for all sets C and D, write ʺfalse.ʺ Assume that C≠∅ C \not = \varnothing C=∅ ,and C⊂U C \subset UC⊂U . - D⊆DD \subseteq DD⊆D

Determine whether the set is well defined or not well defined. -The set of U.S. state flags which display depictions of stars

Express the set in roster form. -{x|x is a whole number between 6 and 10}

Write the set in set-builder notation. -{16, 17, 18, 19}

Identify the set as finite or infinite -{8, 9, 10, . . ., 32}

Determine whether the sets are equal, equivalent, both, or neither. -{first, second, third} and {1, 2, 3}

If the statement is true for all sets C and D, write ʺtrue.ʺ If it is not true for all sets C and D, write ʺfalse.ʺ Assume that C≠∅ C \not = \varnothing C=∅ ,and C⊂U C \subset UC⊂U . - U⊆∅\mathrm { U } \subseteq \varnothingU⊆∅

If the statement is true for all sets C and D, write ʺtrue.ʺ If it is not true for all sets C and D, write ʺfalse.ʺ Assume that C≠∅ C \not = \varnothing C=∅ ,and C⊂U C \subset UC⊂U . - ∅⊆C \varnothing \subseteq C ∅⊆C

Let A = {1, 3, 5, 7} B = {5, 6, 7, 8} C = {5, 8} D = {2, 5, 8} U = {1, 2, 3, 4, 5, 6, 7, 8}. Determine whether the statement is true or false. -C ⊆ D

List all subsets or determine the number of subsets as requested. -Determine the number of subsets of {1, 2, 3, ..., 6}

Write a description of the set. -D = {January, February, March, April, May, June, July, August, . . .}

Determine whether the number used is a cardinal or an ordinal number. -Halʹs birthday is on February fifteenth.

Critical Thinking Skills

Logic

Systems of Numeration

Number Theory and the Real Number System

Algebra, Graphs, and Functions

The Metric System

Geometry

Consumer Mathematics

Probability

Voting and Apportionment

Filters

Let U = {all soda pops}, A = {all diet soda pops}, B = {all cola soda pops}, C = {all soda pops in cans}, and D = {all caffeine-free soda pops}. Describe the set in words. - $A \cap B$

Let U = {all soda pops}, A = {all diet soda pops}, B = {all cola soda pops}, C = {all soda pops in cans}, and D = {all caffeine-free soda pops}. Describe the set in words. - $( A \cup B ) \cup D$

Use $\subseteq, \nsubseteq, \subset$ , or both $\subset$ and $\subseteq$ to make a true statement. - $\{ 11,12,13 \} ....... \{ 10,11,12,13 \}$

If the statement is true for all sets C and D, write ʺtrue.ʺ If it is not true for all sets C and D, write ʺfalse.ʺ Assume that $C \not = \varnothing$ ,and $C \subset U$ . - $D \subseteq D$

If the statement is true for all sets C and D, write ʺtrue.ʺ If it is not true for all sets C and D, write ʺfalse.ʺ Assume that $C \not = \varnothing$ ,and $C \subset U$ . - $\mathrm { U } \subseteq \varnothing$

If the statement is true for all sets C and D, write ʺtrue.ʺ If it is not true for all sets C and D, write ʺfalse.ʺ Assume that $C \not = \varnothing$ ,and $C \subset U$ . - $\varnothing \subseteq C$