Question 1

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 2

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 3

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

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
E)  None of these 
A) 
  
B) 
  
C) 
  
D) 
  
E)  None of these

Question 4

$$A \cap B$$

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 
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

Question 5

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 6

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:
-$\left| A ^ { \prime } \cap C ^ { \prime } \right|$

Accepted Answer

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

Question 7

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

Accepted Answer

A)  16 
B)  3 
C)  17 
D)  19 
E)  None of these 
A)  16 
B)  3 
C)  17 
D)  19 
E)  None of these

Question 8

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 9

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 10

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

Accepted Answer

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

Question 11

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:
-$C ^ { \prime }$

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 
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

Question 12

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

Accepted Answer

{a, b, e,

Question 13

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 14

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...

Question 15

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 16

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 17

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 these 
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 these

Question 18

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 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

$A \cup B ^ { \prime }$

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 
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

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: - $A ^ { \prime }$

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

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

$A \cap B$

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

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: - $\left| A ^ { \prime } \cap C ^ { \prime } \right|$

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

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

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: - $\left| B ^ { \prime } \right|$

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

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: - $C ^ { \prime }$

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

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

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 $f ( 1,1 )$ . \sim \sim f( , ) 1 1 1 0 0 1 0 0

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: - $A ^ { \prime }$

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

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

$A \cup B ^ { \prime }$

Computation

Binary Numbers

Octal and Hexadecimal Numbers

Boolean Circuits

Graphs

Computer Science and Mathematics

Filters

Exam 4: Sets and Algebra

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′

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

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

A∩BA \cap BA∩B

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

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′∣

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

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

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′∣

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

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′

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

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

Complete the following truth table for f(A,B)=∼A∧∼Bf ( \boldsymbol { A } , \boldsymbol { B } ) = \sim \boldsymbol { A } \wedge \sim \boldsymbol { B }f(A,B)=∼A∧∼B , then use the truth table to evaluate f(1,1)f ( 1,1 )f(1,1) . \sim \sim f( , ) 1 1 1 0 0 1 0 0

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′

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

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

A∪B′A \cup B ^ { \prime }A∪B′

Computation

Binary Numbers

Octal and Hexadecimal Numbers

Boolean Circuits

Graphs

Computer Science and Mathematics

Filters

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: - $A ^ { \prime }$

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

$A \cap B$

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: - $\left| A ^ { \prime } \cap C ^ { \prime } \right|$

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: - $\left| B ^ { \prime } \right|$

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: - $C ^ { \prime }$

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 $f ( 1,1 )$ . \sim \sim f( , ) 1 1 1 0 0 1 0 0

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: - $A ^ { \prime }$

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

$A \cup B ^ { \prime }$