Question 1

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:
-$B \cup C ^ { \prime }$

Accepted Answer

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

Question 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:
-$$B ^ { \prime }$$

Accepted Answer

{Capitals,

Question 3

Which of the following are propositions?
-Describe an element in the set $C \cup B \cup A$

Accepted Answer

Either a C

Question 4

Let A = {students taking a German class} 16. B = {students taking a philosophy class}
Assume there are 28 students taking a German class, 34 students taking a philosophy class, and 56 students Taking at least one of the two classes. How many students Are taking both a German class and a philosophy class?

Accepted Answer

A)  5 
B)  6 
C)  7 
D)  8 
E)  None of these 
A)  5 
B)  6 
C)  7 
D)  8 
E)  None of these

Question 5

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:
-$A \cap C$

Accepted Answer

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

Question 6

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

Accepted Answer

A)  {p, o, r, c, u, p, i, n, e} 
B)  {c, e, i, n, o, p, r, u} 
C)  {c, e, i, n, p, r, u} 
D)  {p, o, n, r, e, i, c} 
E)  None of these 
A)  {p, o, r, c, u, p, i, n, e} 
B)  {c, e, i, n, o, p, r, u} 
C)  {c, e, i, n, p, r, u} 
D)  {p, o, n, r, e, i, c} 
E)  None of these

Question 7

Which of the following are subsets of the set R, where R = {1, 5, 9, 13, 17,..}?
-{1, 21, 41}

Accepted Answer

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

Question 8

How many cars have a CD changer and airbags, but no
antilock brakes?

Accepted Answer

The answer of How many cars have a CD changer...

Question 9

Label the following regions on the Venn diagram below:
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}

Accepted Answer

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

Question 10

For each of the following propositions, find a negation.
-Roses are red.

Accepted Answer

The answer of For each of the following propositions, find...

Question 11

Which of the following are propositions?
-$$x ^ { 2 } \geq - 5$$

Accepted Answer

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

Question 12

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:
-$$A \cap B ^ { \prime }$$

Accepted Answer

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

Question 13

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

Accepted Answer

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

Question 14

Complete the following truth table. Identify the last column in the table as a condition statement, a fallacy,or a tautology.
$\begin{array} { | c | c | c | c | } 
\hline \boldsymbol { p } & \boldsymbol { q } & \sim \boldsymbol { p } & \sim \boldsymbol { p } \vee \boldsymbol { q } \
\hline 1 & 1 & & \
\hline 1 & 0 & & \
\hline 0 & 1 & & \
\hline 0 & 0 & & \
\hline
\end{array}$

Accepted Answer

The answer of Complete the following truth table. Identify the...

Question 15

Which of the following are propositions?
-Jam is not jelly.

Accepted Answer

The answer of Which of the following are propositions?
-Jam is...

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: - $B \cup C ^ { \prime }$

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

Which of the following are propositions? -Describe an element in the set $C \cup B \cup A$

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: - $A \cap C$

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

Which of the following are subsets of the set R, where R = {1, 5, 9, 13, 17,..}? -{1, 21, 41}

How many cars have a CD changer and airbags, but no antilock brakes?

Label the following regions on the Venn diagram below: 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}

For each of the following propositions, find a negation. -Roses are red.

Which of the following are propositions? - $x ^ { 2 } \geq - 5$

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: - $A \cap B ^ { \prime }$

Complete the following truth table for $f ( A , B ) = A \vee \sim B$ , then use the truth table to evaluate $f ( 0,1 )$ . \sim f(A,B) 1 1 1 0 0 1 0 0 Which of the following are propositions?

Complete the following truth table. Identify the last column in the table as a condition statement, a fallacy,or a tautology. \sim \sim \vee 1 1 1 0 0 1 0 0

Which of the following are propositions? -Jam is not jelly.

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

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

Which of the following are propositions? -Describe an element in the set C∪B∪AC \cup B \cup AC∪B∪A

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∩CA \cap CA∩C