Question 1

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

Accepted Answer

{0, 1, 2, 3, 4, 6, 7}

Question 2

Describe an element in the set $P \cap M \cap O$

Accepted Answer

A)   Pizza with pepperoni or mushrooms
B)   Pizza with pepperoni and olives
C)   Pizza with pepperoni and mushrooms or olives
D)   Pizza with pepperoni or mushrooms or olives
E)   None of these  E

Question 3

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

Accepted Answer

4

Question 4

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 a...

Question 5

Which of the following are propositions?
-$$x ^ { 2 } = x - 2$$

Accepted Answer

The answer of Which of the following are propositions?
-\[x ^...

Question 6

Which of the following are subsets of the set R, where R = {1, 5, 9, 13, 17,..}?
-The universal set of negative numbers.

Accepted Answer

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

Question 7

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

Accepted Answer

The answer of Let U = {Bruins, Capitals, Flyers, Hurricanes,...

Question 8

Label the following regions on the Venn diagram below:
Let U = {a, b, c, d, e, f, g, h, i, j}
A = {a, c, e, i}
B = {b, c, d, f, i}

Accepted Answer

The answer of Label the following regions on the Venn...

Question 9

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

Accepted Answer

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

Question 10

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:
-$B \cap C$

Accepted Answer

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

Question 11

Which of the following is a proposition?

Accepted Answer

A)   Leave me alone.
B)   Why does it rain?
C)   The universe is big.
D)   Where did she go?
E)   None of these

Question 12

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:
-$A \cap B$

Accepted Answer

The answer of Let U = {Astros, Athletics, Giants, Mariners,...

Question 13

Complete the Venn diagram below for the following cardinalities: $| A \cap B \cap C | = 8 , | A | = 40 , | B | = 28$, $| C | = 68 , | A \cap B | = 10 , | A \cap C | = 12$, and $| B \cap C | = 22$. What is $| A \cup B \cup C |$ ?

Accepted Answer

The answer of Complete the Venn diagram below for the...

Question 14

Use set notation to represent each of the following.
-The universal set of positive odd numbers.

Accepted Answer

The answer of Use set notation to represent each of...

Question 15

Complete the Venn diagram below for the following cardinalities: $| \boldsymbol { A } \cup \boldsymbol { B } \cup \boldsymbol { C } | = \mathbf { 5 9 } , | \boldsymbol { A } | = \mathbf { 3 2 } , | \boldsymbol { B } | = \mathbf { 3 8 }$, $| C | = 44 , | A \cap B | = 18 , | A \cap C | = 22$, and $| B \cap C | = 32$. What is $| \boldsymbol { A } \cap \boldsymbol { B } \cap \boldsymbol { C } |$ ?

Accepted Answer

The answer of Complete the Venn diagram below for the...

Question 16

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

Accepted Answer

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

Question 17

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} 
A = {1, 4, 7, 8, 9}
B = {2, 3, 4, 5, 6, 9}
Choose the correct Venn diagram.

Accepted Answer

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

Question 18

$\left| A ^ { \prime } \right|$

Accepted Answer

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

Question 19

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:
-$| U |$

Accepted Answer

The answer of Let U = {Astros, Athletics, Giants, Mariners,...

Question 20

$\left| A ^ { \prime } \cap B \right|$

Accepted Answer

A)   5
B)   4
C)   3
D)   2
E)   None of these

Exam 4: Sets and Algebra

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

Describe an element in the set $P \cap M \cap O$

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

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

Which of the following are propositions? - $x ^ { 2 } = x - 2$

Which of the following are subsets of the set R, where R = {1, 5, 9, 13, 17,..}? -The universal set of negative numbers.

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

Label the following regions on the Venn diagram below: Let U = {a, b, c, d, e, f, g, h, i, j} A = {a, c, e, i} B = {b, c, d, f, i}

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

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: - $B \cap C$

Which of the following is a proposition?

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: - $A \cap B$

Use set notation to represent each of the following. -The universal set of positive odd numbers.

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

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} A = {1, 4, 7, 8, 9} B = {2, 3, 4, 5, 6, 9} Choose the correct Venn diagram.

$\left| A ^ { \prime } \right|$

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: - $| U |$

$\left| A ^ { \prime } \cap B \right|$

Exam 4: Sets and Algebra

Let U = {0, 1, 2, 3, 4, 5, 6, 7} A = {0, 3, 6, 7} B = {1, 2, 4, 6} Find the following : - A∪BA \cup BA∪B

Describe an element in the set P∩M∩OP \cap M \cap OP∩M∩O

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

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

Which of the following are propositions? - x2=x−2x ^ { 2 } = x - 2x2=x−2

Which of the following are subsets of the set R, where R = {1, 5, 9, 13, 17,..}? -The universal set of negative numbers.

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∩B∣| A \cap B |∣A∩B∣

Label the following regions on the Venn diagram below: Let U = {a, b, c, d, e, f, g, h, i, j} A = {a, c, e, i} B = {b, c, d, f, i}

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

Which of the following is a proposition?

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∩BA \cap BA∩B

Use set notation to represent each of the following. -The universal set of positive odd numbers.

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

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} A = {1, 4, 7, 8, 9} B = {2, 3, 4, 5, 6, 9} Choose the correct Venn diagram.

∣A′∣\left| A ^ { \prime } \right|∣A′∣

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: - ∣U∣| U |∣U∣

∣A′∩B∣\left| A ^ { \prime } \cap B \right|∣A′∩B∣

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

Describe an element in the set $P \cap M \cap O$

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

Which of the following are propositions? - $x ^ { 2 } = x - 2$

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

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

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: - $B \cap C$

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: - $A \cap B$

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

$\left| A ^ { \prime } \right|$

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: - $| U |$

$\left| A ^ { \prime } \cap B \right|$