Question 1

A∩BA \cap BA∩B

Accepted Answer

A)   {Bucks, Bulls, Celtics, Heat, Hornets, Jazz, Pacers, Warriors, Wizards}
B)   {Celtics, Heat, Wizards}
C)   {Heat, Wizards}
D)   {Bucks, Bulls, Celtics, Heat, Jazz, Pacers, Warriors, Wizards}
E)   None of these F) A) and D)
G) B) and E)

Question 2

A∪B′A \cup B ^ { \prime }A∪B′

Accepted Answer

A)    {\{{  Jazz, Pacers, Warriors  }\}} 
B)   \{Bucks, Celtics, Heat, Jazz, Pacers, Pistons, Spurs, Warriors, Wizards  }\}} 
C)   \{Celtics, Heat, Jazz, Pistons, Spurs, Pacers, Warriors, Wizards  }\}} 
D)   \{Celtics, Heat, Jazz, Pacers, Pistons, Spurs, Pacers, Warriors, Wizards  }\}} 
E)   None of these F) A) and B)
G) B) and C)

Question 3

Let A = {students taking a Spanish class}
B = {students taking a judo class}
Assume there are 41 students taking a Spanish class,
22 students taking a judo class, and 8 students taking
both classes. How many students are taking at least
one of the two classes? Fill in the Venn diagram below
to illustrate your solution.

Accepted Answer

The answer of Let A = {students taking a Spanish...

Question 4

Let A = {students taking a computer class} 
B = {students taking an algebra class}
Assume there are 25 students taking a computer class,
16 students taking an algebra class, and 32 students
taking at least one of the two classes. How many students
are taking both a computer class and an algebra class?
Fill in the Venn diagram below to illustrate your solution.

Accepted Answer

The answer of Let A = {students taking a computer...

Question 5

Which of the following are propositions?
-Draw a Venn diagram for which the given cardinalities apply.

Accepted Answer

The answer of  Which of the following are propositions?
-Draw...

Question 6

For each of the following propositions, find a negation.
-The earth is flat.

Accepted Answer

A)   The earth is round.
B)   The earth is always flat.
C)   The flat is earth.
D)   The earth is not flat.
E)   None of theseF) C) and E)
G) A) and E)

Question 7

How many pizzas have either pepperoni, mushrooms, or olives?

Accepted Answer

A)   16
B)   3
C)   17
D)   19
E)   None of theseF) C) and E)
G) A) and E)

Question 8

Choose the correct Venn diagram for  A′∩BA ^ { \prime } \cap BA′∩B .

Accepted Answer

A)  
B)  
C)  
D)  
E)   None of these F) A) and E)
G) A) and C)

Question 9

Let U = {Astros, Athletics, Giants, Mariners, Orioles, Pirates, Reds, Royals, Tigers}
A = {Athletics, Giants, Reds, Royals}
B = {Astros, Athletics, Giants, Royals, Tigers}
Find the following:
-$A ^ { \prime }$

Accepted Answer

{Astros, M...

Question 10

Use set notation to represent each of the following.
-The set of letters in the word bamboozle.

Accepted Answer

{a, b, e, ...

Question 11

Which of the following are propositions?
-How many computers have a DSL modem, an Ethernet
card, and Firewire ports?

Accepted Answer

The answer of Which of the following are propositions?
-How many...

Question 12

Which of the following are subsets of the set R, where R = {1, 5, 9, 13, 17,..}?
-{5, 17, 29, …}

Accepted Answer

The answer of Which of the following are subsets of...

Question 13

Which of the following are propositions?
-Go to the store.

Accepted Answer

The answer of  Which of the following are propositions?
-Go...

Question 14

Let U = {0, 1, 2, 3, 4, 5, 6, 7, A, B}
A = {0, 5, 6, B}
B = {1, 5, 7, A}
Find the following:
-$$A ^ { \prime }$$

Accepted Answer

The answer of Let U = {0, 1, 2, 3,...

Question 15

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
A = {1, 2, 8, 9}
B = {1, 3, 6, 7, 8}
C = {5, 6, 7, 8, 9}
Find the following:
- C′C ^ { \prime }C′

Accepted Answer

A)   {5, 6, 7, 8, 9}
B)   {3, 4, 5, 6, 7}
C)   {0, 1, 2, 3, 4}
D)   {1, 2, 3, 4}
E)   None of these F) C) and D)
G) B) and E)

Question 16

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
A = {1, 2, 8, 9}
B = {1, 3, 6, 7, 8}
C = {5, 6, 7, 8, 9}
Find the following:
- ∣A′∩C′∣\left| A ^ { \prime } \cap C ^ { \prime } \right|∣A′∩C′∣

Accepted Answer

A)   3
B)   4
C)   5
D)   6
E)   None of these F) B) and C)
G) A) and C)

Question 17

Let U = {0, 1, 2, 3, 4, 5, 6, 7, A, B}
A = {0, 5, 6, B}
B = {1, 5, 7, A}
Find the following:
-$$\left| B ^ { \prime } \right|$$

Accepted Answer

The answer of Let U = {0, 1, 2, 3,...

Question 18

Which of the following are subsets of the set R, where R = {1, 5, 9, 13, 17,..}?
-{9, 41, 75}

Accepted Answer

The answer of Which of the following are subsets of...

Question 19

Let U = {Bruins, Capitals, Flyers, Hurricanes, Lightning, Oilers, Panthers, Rangers}
A = {Flyers, Hurricanes, Lightning, Rangers}
B = {Bruins, Flyers, Hurricanes, Oilers, Panthers}
Find the following:
-$$A \cup B$$

Accepted Answer

{Bruins, Flyers, Hur...

Question 20

Complete the following truth table for $f ( \boldsymbol { A } , \boldsymbol { B } ) = \sim \boldsymbol { A } \wedge \sim \boldsymbol { B }$, then use the truth table to evaluate $f ( 1,1 )$.
$\begin{array}{|c|c|c|c|c|}
\hline \boldsymbol{A} & \boldsymbol{B} & \sim \boldsymbol{A} & \sim \boldsymbol{B} & f(\boldsymbol{A}, \boldsymbol{B}) \
\hline 1 & 1 & & & \
\hline 1 & 0 & & & \
\hline 0 & 1 & & & \
\hline 0 & 0 & & & \
\hline
\end{array}$

Accepted Answer

The answer of Complete the following truth table for \(f...

Exam 4: Sets and Algebra

Which of the following are subsets of the set R, where R = {1, 5, 9, 13, 17,..}? -{9, 41, 75}

Correct Answer
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Let U = {0, 1, 2, 3, 4, 5, 6, 7, A, B} A = {0, 5, 6, B} B = {1, 5, 7, A} Find the following: - $A ^ { \prime }$

Correct Answer
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Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} A = {1, 2, 8, 9} B = {1, 3, 6, 7, 8} C = {5, 6, 7, 8, 9} Find the following: - $C ^ { \prime }$

Correct Answer
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Let U = {Bruins, Capitals, Flyers, Hurricanes, Lightning, Oilers, Panthers, Rangers} A = {Flyers, Hurricanes, Lightning, Rangers} B = {Bruins, Flyers, Hurricanes, Oilers, Panthers} Find the following: - $A \cup B$

Correct Answer
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{Bruins, Flyers, Hur...
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Correct Answer
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Which of the following are subsets of the set R, where R = {1, 5, 9, 13, 17,..}? -{5, 17, 29, …}

Correct Answer
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Choose the correct Venn diagram for $A ^ { \prime } \cap B$ .

Correct Answer
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Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} A = {1, 2, 8, 9} B = {1, 3, 6, 7, 8} C = {5, 6, 7, 8, 9} Find the following: - $\left| A ^ { \prime } \cap C ^ { \prime } \right|$

Correct Answer
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Correct Answer
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Which of the following are propositions? -Go to the store.

Correct Answer
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$A \cap B$

Correct Answer
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Use set notation to represent each of the following. -The set of letters in the word bamboozle.

Correct Answer
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{a, b, e, ...
View Answer

For each of the following propositions, find a negation. -The earth is flat.

Correct Answer
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Correct Answer
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$A \cup B ^ { \prime }$

Correct Answer
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Let U = {Astros, Athletics, Giants, Mariners, Orioles, Pirates, Reds, Royals, Tigers} A = {Athletics, Giants, Reds, Royals} B = {Astros, Athletics, Giants, Royals, Tigers} Find the following: - $A ^ { \prime }$

Correct Answer
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{Astros, M...
View Answer

Which of the following are propositions? -Draw a Venn diagram for which the given cardinalities apply.

Correct Answer
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How many pizzas have either pepperoni, mushrooms, or olives?

Correct Answer
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Which of the following are propositions? -How many computers have a DSL modem, an Ethernet card, and Firewire ports?

Correct Answer
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Let U = {0, 1, 2, 3, 4, 5, 6, 7, A, B} A = {0, 5, 6, B} B = {1, 5, 7, A} Find the following: - $\left| B ^ { \prime } \right|$

Correct Answer
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Exam 4: Sets and Algebra

Which of the following are subsets of the set R, where R = {1, 5, 9, 13, 17,..}? -{9, 41, 75}

Correct AnswerverifiedShow Answer

Let U = {0, 1, 2, 3, 4, 5, 6, 7, A, B} A = {0, 5, 6, B} B = {1, 5, 7, A} Find the following: - A′A ^ { \prime }A′

Correct AnswerverifiedShow Answer

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} A = {1, 2, 8, 9} B = {1, 3, 6, 7, 8} C = {5, 6, 7, 8, 9} Find the following: - C′C ^ { \prime }C′

Correct AnswerverifiedShow Answer

Let U = {Bruins, Capitals, Flyers, Hurricanes, Lightning, Oilers, Panthers, Rangers} A = {Flyers, Hurricanes, Lightning, Rangers} B = {Bruins, Flyers, Hurricanes, Oilers, Panthers} Find the following: - A∪BA \cup BA∪B

Correct Answerverified{Bruins, Flyers, Hur...View AnswerShow Answer

Correct AnswerverifiedShow Answer

Which of the following are subsets of the set R, where R = {1, 5, 9, 13, 17,..}? -{5, 17, 29, …}

Correct AnswerverifiedShow Answer

Choose the correct Venn diagram for A′∩BA ^ { \prime } \cap BA′∩B .

Correct AnswerverifiedShow Answer

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} A = {1, 2, 8, 9} B = {1, 3, 6, 7, 8} C = {5, 6, 7, 8, 9} Find the following: - ∣A′∩C′∣\left| A ^ { \prime } \cap C ^ { \prime } \right|∣A′∩C′∣

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Which of the following are propositions? -Go to the store.

Correct AnswerverifiedShow Answer

A∩BA \cap BA∩B

Correct AnswerverifiedShow Answer

Use set notation to represent each of the following. -The set of letters in the word bamboozle.

Correct Answerverified{a, b, e, ...View AnswerShow Answer

For each of the following propositions, find a negation. -The earth is flat.

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A∪B′A \cup B ^ { \prime }A∪B′

Correct AnswerverifiedShow Answer

Let U = {Astros, Athletics, Giants, Mariners, Orioles, Pirates, Reds, Royals, Tigers} A = {Athletics, Giants, Reds, Royals} B = {Astros, Athletics, Giants, Royals, Tigers} Find the following: - A′A ^ { \prime }A′

Correct Answerverified{Astros, M...View AnswerShow Answer

Which of the following are propositions? -Draw a Venn diagram for which the given cardinalities apply.

Correct AnswerverifiedShow Answer

How many pizzas have either pepperoni, mushrooms, or olives?

Correct AnswerverifiedShow Answer

Which of the following are propositions? -How many computers have a DSL modem, an Ethernet card, and Firewire ports?

Correct AnswerverifiedShow Answer

Let U = {0, 1, 2, 3, 4, 5, 6, 7, A, B} A = {0, 5, 6, B} B = {1, 5, 7, A} Find the following: - ∣B′∣\left| B ^ { \prime } \right|∣B′∣

Correct AnswerverifiedShow Answer

Correct Answer
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Let U = {0, 1, 2, 3, 4, 5, 6, 7, A, B} A = {0, 5, 6, B} B = {1, 5, 7, A} Find the following: - $A ^ { \prime }$

Correct Answer
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Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} A = {1, 2, 8, 9} B = {1, 3, 6, 7, 8} C = {5, 6, 7, 8, 9} Find the following: - $C ^ { \prime }$

Correct Answer
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Let U = {Bruins, Capitals, Flyers, Hurricanes, Lightning, Oilers, Panthers, Rangers} A = {Flyers, Hurricanes, Lightning, Rangers} B = {Bruins, Flyers, Hurricanes, Oilers, Panthers} Find the following: - $A \cup B$

Correct Answer
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{Bruins, Flyers, Hur...
View Answer

Correct Answer
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Correct Answer
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Choose the correct Venn diagram for $A ^ { \prime } \cap B$ .

Correct Answer
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Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} A = {1, 2, 8, 9} B = {1, 3, 6, 7, 8} C = {5, 6, 7, 8, 9} Find the following: - $\left| A ^ { \prime } \cap C ^ { \prime } \right|$

Correct Answer
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Correct Answer
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Correct Answer
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$A \cap B$

Correct Answer
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Correct Answer
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{a, b, e, ...
View Answer

Correct Answer
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Correct Answer
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$A \cup B ^ { \prime }$

Correct Answer
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Let U = {Astros, Athletics, Giants, Mariners, Orioles, Pirates, Reds, Royals, Tigers} A = {Athletics, Giants, Reds, Royals} B = {Astros, Athletics, Giants, Royals, Tigers} Find the following: - $A ^ { \prime }$

Correct Answer
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{Astros, M...
View Answer

Correct Answer
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Correct Answer
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Correct Answer
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Let U = {0, 1, 2, 3, 4, 5, 6, 7, A, B} A = {0, 5, 6, B} B = {1, 5, 7, A} Find the following: - $\left| B ^ { \prime } \right|$

Correct Answer
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