Question 1

Choose the negation of the statement. All workers get paid on Thursday.

Accepted Answer

A)  No workers get paid on Thursday. 
B)  All workers do not get paid. 
C)  Some workers get paid on Thursday. 
D)  All workers do not get paid on Thursday. 
E)  Some workers do not get paid on Thursday. 
A)  No workers get paid on Thursday. 
B)  All workers do not get paid. 
C)  Some workers get paid on Thursday. 
D)  All workers do not get paid on Thursday. 
E)  Some workers do not get paid on Thursday.

Question 2

Give the numbers of elements in the region marked II in the figure. $$| U | = 22 , | A | = 12 , | B | = 10 , | A \cap B | = 0$$

Accepted Answer

A)  2 elements 
B)  22 elements 
C)  10 elements 
D)  12 elements 
E)  0 elements 
A)  2 elements 
B)  22 elements 
C)  10 elements 
D)  12 elements 
E)  0 elements

Question 3

Let $$\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 2,4,6,8 \} \
B = \{ 3,7 \} \
C = \{ 2,3,6,7,10 \}
\end{array}$$ List all the members of the set. $\overline{ A \cup B ) \cup C }$

Accepted Answer

The answer of Let \[\begin{array} { l } 
U =...

Question 4

Let $$\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7 \} \
A = \{ 1,2,3,4 \} \
B = \{ 1,2,3,6 \} \
C = \{ 3,5,7 \}
\end{array}$$ List all the members of the set. $A \cap C$

Accepted Answer

A)  $\{ 3,5,7 \}$ 
B)  $\{ 3 \}$ 
C)  $( 1,2,3,4 \}$ 
D)  $\{ 1,2,3,4,5,7 \}$ 
E)  $\varnothing $ 
A)  $\{ 3,5,7 \}$ 
B)  $\{ 3 \}$ 
C)  $( 1,2,3,4 \}$ 
D)  $\{ 1,2,3,4,5,7 \}$ 
E)  $\varnothing $

Question 5

Give the numbers of elements in the regions marked I, II, III, IV, V, VI, VII, and VIII in the figure. $| U | = 400 , | A | = 160 , | B | = 190 , | C | = 70 , | A \cap B | = 20$ $$| A \cap C | = 50 , | B \cap C | = 20 , | A \cap B \cap C | = 20$$   I: __________ elements II: __________ elements III: __________ elements IV: __________ elements V: __________ elements VI: __________ elements VII: __________ elements VIII: __________ elements

Accepted Answer

@#LAT-DLM& ; @#LAT-DLM& ; @#LAT-DLM& ; @#LAT-DLM&

Question 6

The following is a statement. $6 + 10 \neq 5$

Accepted Answer

A) True 
 B)False

Question 7

Let $$\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 2,4,6,8 \} \
B = \{ 7,9 \} \
C = \{ 2,7,8,9,10 \}
\end{array}$$ List all the members of the set. $\bar { A } \cup ( B \cap C )$

Accepted Answer

A)  $\{ 1,3,5,7,9,10 \}$ 
B)  $\{ 1,3,5,7,9 \}$ 
C)  $\{ 1,4,6,7,9,10 \}$ 
D)  $\{ 2,4,6,7,8,9,10 \}$ 
E)  $\varnothing$ 
A)  $\{ 1,3,5,7,9,10 \}$ 
B)  $\{ 1,3,5,7,9 \}$ 
C)  $\{ 1,4,6,7,9,10 \}$ 
D)  $\{ 2,4,6,7,8,9,10 \}$ 
E)  $\varnothing$

Question 8

Let $$\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 2 \} \
B = \{ 3,4,5,6,7 \}
\end{array}$$ List all the members of the set. $\bar { A }$

Accepted Answer

The answer of Let \[\begin{array} { l } 
U =...

Question 9

Specify the set by description. 
 $\{ s , w , i , m \}$

Accepted Answer

{letters i

Question 10

Tell whether you believe the conjecture is true or false. 
The sum of an odd number of even numbers is odd.

Accepted Answer

The answer of Tell whether you believe the conjecture is...

Question 11

Translate the following into set notation. C or D

Accepted Answer

A)  $\bar { D }$ 
B)  $C \cup D$ 
C)  $\bar { C }$ 
D)  $C \cap D$ 
E)  $\varnothing $ 
A)  $\bar { D }$ 
B)  $C \cup D$ 
C)  $\bar { C }$ 
D)  $C \cap D$ 
E)  $\varnothing $

Question 12

How many subsets are there in a set with $3$ elements?

Accepted Answer

A)  $4$ 
B)  $9$ 
C)  $6$ 
D)  $8$ 
E)  $27$ 
A)  $4$ 
B)  $9$ 
C)  $6$ 
D)  $8$ 
E)  $27$

Question 13

Let $P = \{ U . S \cdot \text { presidents } \} , \quad O = \text { Obama, } W = \text { Washington, } J = \text { Jones }$ . $$J \in P$$

Accepted Answer

A) True 
 B)False

Question 14

Use Venn diagrams to check the validity of the argument. 
All mathematicians are eccentrics. 
All eccentrics are rich. 
Therefore, all mathematicians are rich. 
__________ ( valid / not valid )

Accepted Answer

The answer of Use Venn diagrams to check the validity...

Question 15

Find the truth value when p is F and q is T. $p \cup q$

Accepted Answer

A)  ~ p 
B)  not valid 
C)  T 
D)  F 
E)  $p \cup q$ 
A)  ~ p 
B)  not valid 
C)  T 
D)  F 
E)  $p \cup q$

Question 16

Specify the set by roster. {U.S. president in 2011}

Accepted Answer

A)  {Obama} 
B)  {Reagan} 
C)  {Bush} 
D)  {Carter} 
E)  {Clinton} 
A)  {Obama} 
B)  {Reagan} 
C)  {Bush} 
D)  {Carter} 
E)  {Clinton}

Question 17

Write in words what the symbols $M \subseteq M$ mean about sets M and N.

Accepted Answer

The answer of Write in words what the symbols \(M...

Question 18

Draw a Venn diagram: the intersection of the complements of sets $A$ and $B$ .

Accepted Answer

The answer of Draw a Venn diagram: the intersection of...

Question 19

Specify the set by roster. {Positive multiples of 8}

Accepted Answer

A)  $( 8,8,6 \}$ 
B)  $\{ 0,8,16,24 , \ldots \}$ 
C)  $\{ 8,16,24 , \ldots \}$ 
D)  $\{ \ldots , - 24 , - 16 , - 8,0,8,16,24 \ldots \}$ 
E)  $\{ 8,16,24 \}$ 
A)  $( 8,8,6 \}$ 
B)  $\{ 0,8,16,24 , \ldots \}$ 
C)  $\{ 8,16,24 , \ldots \}$ 
D)  $\{ \ldots , - 24 , - 16 , - 8,0,8,16,24 \ldots \}$ 
E)  $\{ 8,16,24 \}$

Question 20

In a recent survey of $100$ women, the information was gathered: $57$ use shampoo A. $52$ use shampoo B. $33$ use shampoo C. $21$ use shampoos A and B. $19$ use shampoos A and C. $13$ use shampoos B and C. $9$ use all three. How many are using shampoo C only (Region III)? A = {women who use shampoo A } B = {women who use shampoo B } C = {women who use shampoo C } Use the figure (with Regions I to VIII) to answer the question.

Accepted Answer

A)  20 women 
B)  14 women 
C)  33 women 
D)  10 women 
E)  57 women 
A)  20 women 
B)  14 women 
C)  33 women 
D)  10 women 
E)  57 women

Choose the negation of the statement. All workers get paid on Thursday.

Give the numbers of elements in the region marked II in the figure. $| U | = 22 , | A | = 12 , | B | = 10 , | A \cap B | = 0$ $Give the numbers of elements in the region marked II in the figure. | U | = 22 , | A | = 12 , | B | = 10 , | A \cap B | = 0$

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2,4,6,8\} B=\{3,7\} C=\{2,3,6,7,10\} List all the members of the set. $\overline{ A \cup B ) \cup C }$

Let U=\{1,2,3,4,5,6,7\} A=\{1,2,3,4\} B=\{1,2,3,6\} C=\{3,5,7\} List all the members of the set. $A \cap C$

The following is a statement. $6 + 10 \neq 5$

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2,4,6,8\} B=\{7,9\} C=\{2,7,8,9,10\} List all the members of the set. $\bar { A } \cup ( B \cap C )$

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2\} B=\{3,4,5,6,7\} List all the members of the set. $\bar { A }$

Specify the set by description. $\{ s , w , i , m \}$

Tell whether you believe the conjecture is true or false. The sum of an odd number of even numbers is odd.

Translate the following into set notation. C or D

How many subsets are there in a set with $3$ elements?

Let $P = \{ U . S \cdot \text { presidents } \} , \quad O = \text { Obama, } W = \text { Washington, } J = \text { Jones }$ . $J \in P$

Use Venn diagrams to check the validity of the argument. All mathematicians are eccentrics. All eccentrics are rich. Therefore, all mathematicians are rich. __________ ( valid / not valid )

Find the truth value when p is F and q is T. $p \cup q$

Specify the set by roster. {U.S. president in 2011}

Write in words what the symbols $M \subseteq M$ mean about sets M and N.

Draw a Venn diagram: the intersection of the complements of sets $A$ and $B$ .

Specify the set by roster. {Positive multiples of 8}

Arithmetic, Calculators, and Problem Solving

Sets of Numbers

Introduction to Algebra

Percents and Problem Solving

Introduction to Geometry

Measurement and Problem Solving

Applications of Percent

Probability

Statistics

Graphs

Filters

Exam 8: Sets and Logic

Choose the negation of the statement. All workers get paid on Thursday.

Give the numbers of elements in the region marked II in the figure. ∣U∣=22,∣A∣=12,∣B∣=10,∣A∩B∣=0| U | = 22 , | A | = 12 , | B | = 10 , | A \cap B | = 0∣U∣=22,∣A∣=12,∣B∣=10,∣A∩B∣=0

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2,4,6,8\} B=\{3,7\} C=\{2,3,6,7,10\} List all the members of the set. A∪B)∪C‾\overline{ A \cup B ) \cup C }A∪B)∪C​

Let U=\{1,2,3,4,5,6,7\} A=\{1,2,3,4\} B=\{1,2,3,6\} C=\{3,5,7\} List all the members of the set. A∩CA \cap CA∩C

The following is a statement. 6+10≠56 + 10 \neq 56+10=5

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2,4,6,8\} B=\{7,9\} C=\{2,7,8,9,10\} List all the members of the set. Aˉ∪(B∩C)\bar { A } \cup ( B \cap C )Aˉ∪(B∩C)

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2\} B=\{3,4,5,6,7\} List all the members of the set. Aˉ\bar { A }Aˉ

Specify the set by description. {s,w,i,m}\{ s , w , i , m \}{s,w,i,m}

Tell whether you believe the conjecture is true or false. The sum of an odd number of even numbers is odd.

Translate the following into set notation. C or D

How many subsets are there in a set with 333 elements?

Let P={U.S⋅ presidents },O= Obama, W= Washington, J= Jones P = \{ U . S \cdot \text { presidents } \} , \quad O = \text { Obama, } W = \text { Washington, } J = \text { Jones }P={U.S⋅ presidents },O= Obama, W= Washington, J= Jones . J∈PJ \in PJ∈P

Use Venn diagrams to check the validity of the argument. All mathematicians are eccentrics. All eccentrics are rich. Therefore, all mathematicians are rich. __________ ( valid / not valid )

Find the truth value when p is F and q is T. p∪qp \cup qp∪q

Specify the set by roster. {U.S. president in 2011}

Write in words what the symbols M⊆MM \subseteq MM⊆M mean about sets M and N.

Draw a Venn diagram: the intersection of the complements of sets AAA and BBB .

Specify the set by roster. {Positive multiples of 8}

Arithmetic, Calculators, and Problem Solving

Sets of Numbers

Introduction to Algebra

Percents and Problem Solving

Introduction to Geometry

Measurement and Problem Solving

Applications of Percent

Probability

Statistics

Graphs

Filters

Give the numbers of elements in the region marked II in the figure. $| U | = 22 , | A | = 12 , | B | = 10 , | A \cap B | = 0$ $Give the numbers of elements in the region marked II in the figure. | U | = 22 , | A | = 12 , | B | = 10 , | A \cap B | = 0$

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2,4,6,8\} B=\{3,7\} C=\{2,3,6,7,10\} List all the members of the set. $\overline{ A \cup B ) \cup C }$

Let U=\{1,2,3,4,5,6,7\} A=\{1,2,3,4\} B=\{1,2,3,6\} C=\{3,5,7\} List all the members of the set. $A \cap C$

The following is a statement. $6 + 10 \neq 5$

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2,4,6,8\} B=\{7,9\} C=\{2,7,8,9,10\} List all the members of the set. $\bar { A } \cup ( B \cap C )$

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2\} B=\{3,4,5,6,7\} List all the members of the set. $\bar { A }$

Specify the set by description. $\{ s , w , i , m \}$

How many subsets are there in a set with $3$ elements?

Let $P = \{ U . S \cdot \text { presidents } \} , \quad O = \text { Obama, } W = \text { Washington, } J = \text { Jones }$ . $J \in P$

Find the truth value when p is F and q is T. $p \cup q$

Write in words what the symbols $M \subseteq M$ mean about sets M and N.

Draw a Venn diagram: the intersection of the complements of sets $A$ and $B$ .