Question 1

Which is the correct Venn diagram for the given cardinalities?

Accepted Answer

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

Question 2

Complete the following truth table. Identify the last 25.
column in the table as a condition statement, a fallacy,
or a tautology. 
$\begin{array} { | c | c | c | c | } 
\hline p & \boldsymbol { q } & \sim \boldsymbol { q } & \boldsymbol { p } \wedge \sim \boldsymbol { q } \
\hline 1 & 1 & & \
\hline 1 & 0 & & \
\hline 0 & 1 & & \
\hline 0 & 0 & & \
\hline
\end{array}$

Accepted Answer

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

Question 3

Which of the following are propositions?
-Violets are Blue.

Accepted Answer

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

Question 4

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:
-$$A \cap B$$

Accepted Answer

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

Question 5

Which of the following are propositions?
-$$x - 7 > 0$$

Accepted Answer

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

Question 6

Use set notation to represent each of the following.
-The universal set of U.S. states that border the Pacific Ocean.

Accepted Answer

A)  {California, Oregon, Washington} 
B)  {Alaska, California, Oregon, Washington} 
C)  {Alaska, California, Hawaii, Oregon, Washington} 
D)  {Alaska, Arizona, California, Hawaii, Oregon, Washington} 
E)  None of these

Question 7

Which of the following are subsets of the set R, where R = {1, 5, 9, 13, 17,..}?
-The set of lowercase letters in the English alphabet.

Accepted Answer

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

Question 8

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:
-$| A \cup B |$

Accepted Answer

A)  4 
B)  5 
C)  2 
D)  7 
E)  None of these

Question 9

For each of the following propositions, find a negation.
-$x - 1 \leq 0$

Accepted Answer

A)  $x - 1 > 0$ 
B)  $x - 1 \geq 0$ 
C)  $x - 1 \neq 0$ 
D)  $x - 1 = 0$ 
E)  None of these 124 Instructor's Resource Guide Mathematics for New Technologies

Question 10

Let 
U = {0, 1, 2, 3, 4, 5, 6, 7}
A = {0, 3, 6, 7}
B = {1, 2, 4, 6}
Find the following : 
-{3, 27, 243, …}

Accepted Answer

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

Question 11

Use set notation to represent each of the following.
-Which of the following is a subset of the set Q, where Q = {1, 4, 16, 64, …}?

Accepted Answer

A)  {1, 4, 258} 
B)  {1024, 4096} 
C)  {128, 512, 2048} 
D)  {16, 64, 384} 
E)  None of these

Question 12

Let $| A \cap B \cap C | = 18 , | A | = 46 , | B | = 48 , | C | = 74 , | A \cap B | = 18$, $| A \cap C | = 21$, and $| B \cap C | = 15$. What is $| A \cup B \cup C |$ ?

Accepted Answer

A)  128 
B)  130 
C)  132 
D)  134 
E)  None of these

Question 13

Evaluate $f ( \mathbf { 1 } , \mathbf { 0 } ) \text { for } f ( \boldsymbol { A } , \boldsymbol { B } ) = \boldsymbol { A } \wedge \sim \boldsymbol { B } .$

Accepted Answer

A)  0 
B)  1

Question 14

Let 
U = {0, 1, 2, 3, 4, 5, 6, 7}
A = {0, 3, 6, 7}
B = {1, 2, 4, 6}
Find the following : 
-{9, 81, 512}

Accepted Answer

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

Question 15

For each of the following propositions, find a negation.
-$$x + 11 = 19$$

Accepted Answer

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

Question 16

Which of the following are propositions?
-Describe an element in the set $M \cup E \cup F$

Accepted Answer

The answer of Which of the following are propositions?
-Describe an...

Question 17

Shade the specified region on the following Venn diagram.

Accepted Answer

The answer of Shade the specified region on the following...

Question 18

Let 
U = {0, 1, 2, 3, 4, 5, 6, 7}
A = {0, 3, 6, 7}
B = {1, 2, 4, 6}
Find the following : 
-{1, 27, 729}

Accepted Answer

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

Question 19

In the truth table below, is the last column in the table

Accepted Answer

A)  a condition statement, 
B)  a fallacy, 
C)  a tautology, 
D)  or none of these?
$\begin{array} { | c | c | c | c | } 
\hline \boldsymbol { p } & \boldsymbol { q } & \sim \boldsymbol { p } & \boldsymbol { p } \wedge \sim \boldsymbol { p } \
\hline 1 & 1 & & \
\hline 1 & 0 & & \
\hline 0 & 1 & & \
\hline 0 & 0 & & \
\hline
\end{array}$

Question 20

Shade the specified region on the following Venn diagram.

Accepted Answer

The answer of Shade the specified region on the following...

Exam 4: Sets and Algebra

Which is the correct Venn diagram for the given cardinalities?

Which of the following are propositions? -Violets are Blue.

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: - $A \cap B$

Which of the following are propositions? - $x - 7 > 0$

Use set notation to represent each of the following. -The universal set of U.S. states that border the Pacific Ocean.

Which of the following are subsets of the set R, where R = {1, 5, 9, 13, 17,..}? -The set of lowercase letters in the English alphabet.

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: - $| A \cup B |$

For each of the following propositions, find a negation. - $x - 1 \leq 0$

Let U = {0, 1, 2, 3, 4, 5, 6, 7} A = {0, 3, 6, 7} B = {1, 2, 4, 6} Find the following : -{3, 27, 243, …}

Use set notation to represent each of the following. -Which of the following is a subset of the set Q, where Q = {1, 4, 16, 64, …}?

Let $| A \cap B \cap C | = 18 , | A | = 46 , | B | = 48 , | C | = 74 , | A \cap B | = 18$ , $| A \cap C | = 21$ , and $| B \cap C | = 15$ . What is $| A \cup B \cup C |$ ?

Evaluate $f ( \mathbf { 1 } , \mathbf { 0 } ) \text { for } f ( \boldsymbol { A } , \boldsymbol { B } ) = \boldsymbol { A } \wedge \sim \boldsymbol { B } .$

Let U = {0, 1, 2, 3, 4, 5, 6, 7} A = {0, 3, 6, 7} B = {1, 2, 4, 6} Find the following : -{9, 81, 512}

For each of the following propositions, find a negation. - $x + 11 = 19$

Which of the following are propositions? -Describe an element in the set $M \cup E \cup F$

Shade the specified region on the following Venn diagram.

Let U = {0, 1, 2, 3, 4, 5, 6, 7} A = {0, 3, 6, 7} B = {1, 2, 4, 6} Find the following : -{1, 27, 729}

In the truth table below, is the last column in the table

Shade the specified region on the following Venn diagram.

Exam 4: Sets and Algebra

Which is the correct Venn diagram for the given cardinalities?

Which of the following are propositions? -Violets are Blue.

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∩BA \cap BA∩B

Which of the following are propositions? - x−7>0x - 7 > 0x−7>0

Use set notation to represent each of the following. -The universal set of U.S. states that border the Pacific Ocean.

Which of the following are subsets of the set R, where R = {1, 5, 9, 13, 17,..}? -The set of lowercase letters in the English alphabet.

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∪B∣| A \cup B |∣A∪B∣

For each of the following propositions, find a negation. - x−1≤0x - 1 \leq 0x−1≤0

Let U = {0, 1, 2, 3, 4, 5, 6, 7} A = {0, 3, 6, 7} B = {1, 2, 4, 6} Find the following : -{3, 27, 243, …}

Use set notation to represent each of the following. -Which of the following is a subset of the set Q, where Q = {1, 4, 16, 64, …}?

Evaluate f(1,0) for f(A,B) =A∧∼B.f ( \mathbf { 1 } , \mathbf { 0 } ) \text { for } f ( \boldsymbol { A } , \boldsymbol { B } ) = \boldsymbol { A } \wedge \sim \boldsymbol { B } .f(1,0) for f(A,B) =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 : -{9, 81, 512}

For each of the following propositions, find a negation. - x+11=19x + 11 = 19x+11=19

Which of the following are propositions? -Describe an element in the set M∪E∪FM \cup E \cup FM∪E∪F

Shade the specified region on the following Venn diagram.

Let U = {0, 1, 2, 3, 4, 5, 6, 7} A = {0, 3, 6, 7} B = {1, 2, 4, 6} Find the following : -{1, 27, 729}

In the truth table below, is the last column in the table

Shade the specified region on the following Venn diagram.

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: - $A \cap B$

Which of the following are propositions? - $x - 7 > 0$

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: - $| A \cup B |$

For each of the following propositions, find a negation. - $x - 1 \leq 0$

Evaluate $f ( \mathbf { 1 } , \mathbf { 0 } ) \text { for } f ( \boldsymbol { A } , \boldsymbol { B } ) = \boldsymbol { A } \wedge \sim \boldsymbol { B } .$

For each of the following propositions, find a negation. - $x + 11 = 19$

Which of the following are propositions? -Describe an element in the set $M \cup E \cup F$