Question 1

List the set in roster form. { $x \mid x$ is a natural number greater than 15}

Accepted Answer

A)  $\{ 16,17,18,19 \}$ 
B)  $\{ 17,18,19,20 , \ldots \}$ 
C)  $\{ 15,16,17,18 , \ldots \}$ 
D)  $\{ 13,14,15,16 , \ldots \}$ 
E)  $\{ 16,17,18,19 , \ldots \}$ 
A)  $\{ 16,17,18,19 \}$ 
B)  $\{ 17,18,19,20 , \ldots \}$ 
C)  $\{ 15,16,17,18 , \ldots \}$ 
D)  $\{ 13,14,15,16 , \ldots \}$ 
E)  $\{ 16,17,18,19 , \ldots \}$

Question 2

Do the following sets have the same cardinality? {48, 49, 50, ..., 59, 60}
{485, 487, 489, ..., 513, 515}

Accepted Answer

A)  They do not have the same cardinality. 
B)  They have the same cardinality. 
A)  They do not have the same cardinality. 
B)  They have the same cardinality.

Question 3

Write in symbols: the complement of the union of sets $A$ and $B$ .

Accepted Answer

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

Question 4

Specify the set by description. $$\{ 10,20,30 , \ldots , 140 \}$$

Accepted Answer

A)  {multiples of 5 between 0 and 150} 
B)  {counting numbers between 10 and 140} 
C)  {multiples of 10 between 0 and 150} 
D)  {counting numbers less than 141} 
E)  {even counting numbers less than 141} 
A)  {multiples of 5 between 0 and 150} 
B)  {counting numbers between 10 and 140} 
C)  {multiples of 10 between 0 and 150} 
D)  {counting numbers less than 141} 
E)  {even counting numbers less than 141}

Question 5

Match between columns
                        Premises: negation
and
conjunction
or
not
disjunction

Accepted Answer

The Answer of 11ec1ea4_7cd0_52f2_be9b_5757dff86675_TBX9050_11 and ~ and 11ec1ea4_7cd0_2be0_be9b_3fa074543125_TBX9050_11 is...

Question 6

Give the numbers of elements in the regions marked I, II, III, and IV in the figure. $$| U | = 28 , | A | = 7 , | B | = 13 , | A \cap B | = 3$$   I: __________ elements II: __________ elements III: __________ elements IV: __________ elements

Accepted Answer

The answer of Give the numbers of elements in the...

Question 7

Draw a Venn diagram showing the sets $A$ and $B$ where $A$ is the set of people under age 21, $B$ is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 8

At the time of Barack Obama s presidency, there have been 44 presidents of the United States. In order to help you answer the question below, draw a Venn diagram showing the following facts about where each served before assuming the presidency. $14$ were vice-president. $6$ were VP and served in the Senate. $16$ served in the Senate. $2$ were VP and held a cabinet post. $8$ held a cabinet post. $4$ served in the Senate and held a cabinet post. $1$ was VP, in the Senate, and held a cabinet post. How many presidents served as vice-president, in the Senate, and held a cabinet post? __________ president(s)

Accepted Answer

The answer of At the time of Barack Obama s...

Question 9

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

Accepted Answer

The answer of How many subsets are there for a...

Question 10

Translate the following into set notation. C and D

Accepted Answer

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

Question 11

In a recent survey of 100 women, the following information was gathered: 54 use shampoo A. 52 use shampoo B. 35 use shampoo C. 24 use shampoos A and B. 18 use shampoos A and C. 14 use shampoos B and C. 12 use all three. How many are using all three shampoos (Region VII)? 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.   __________ women

Accepted Answer

The answer of In a recent survey of 100 women,...

Question 12

At the time of Barack Obama s presidency, there have been 44 presidents of the United States. In order to help you answer the question below, draw a Venn diagram showing the following facts about where each served before assuming the presidency. $14$ were vice-president. $6$ were VP and served in the Senate. $16$ served in the Senate. $2$ were VP and held a cabinet post. $8$ held a cabinet post. $4$ served in the Senate and held a cabinet post. $1$ was VP, in the Senate, and held a cabinet post. How many presidents served only as vice-president before becoming president? __________ president(s)

Accepted Answer

The answer of At the time of Barack Obama s...

Question 13

Give the numbers of elements in the regions marked I, II, III, and IV in the figure. $$| U | = 22 , | A | = 15 , | B | = 7 , | A \cap B | = 0$$   I: __________ elements II: __________ elements III: __________ elements IV: __________ elements

Accepted Answer

The answer of Give the numbers of elements in the...

Question 14

Tell whether you believe that the conjecture is true or false. 
The product of two odd numbers is even.

Accepted Answer

A) True 
 B)False

Question 15

The following is a statement. 
Did you drive to campus on Tuesday?

Accepted Answer

A) True 
 B)False

Question 16

Let U be the universal set. If $B \subset A$ , describe the following set. $B \cap \bar { A }$

Accepted Answer

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

Question 17

Specify the set by roster. 
{Counting numbers greater than 142}

Accepted Answer

The answer of Specify the set by roster. 
{Counting numbers...

Question 18

Use Venn diagrams to check the validity of the argument. 
No dogs can talk. 
All dogs can bark. 
Therefore, some animals that bark cannot talk. 
_______________ ( valid / not valid)

Accepted Answer

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

Question 19

At the time of Barack Obama s presidency, there have been 44 presidents of the United States. In order to help you answer the question below, draw a Venn diagram showing the following facts about where each served before assuming the presidency. $14$ were vice-president. $6$ were VP and served in the Senate. $16$ served in the Senate. $2$ were VP and held a cabinet post. $8$ held a cabinet post. $4$ served in the Senate and held a cabinet post. $1$ was VP, in the Senate, and held a cabinet post. How many presidents served in the Senate and held a cabinet post, but never served as vice-president?

Accepted Answer

A)  2 presidents 
B)  1 president 
C)  3 presidents 
D)  6 presidents 
E)  4 presidents 
A)  2 presidents 
B)  1 president 
C)  3 presidents 
D)  6 presidents 
E)  4 presidents

Question 20

List all subsets of the following set. $$I = \{ 2,6 \}$$

Accepted Answer

A)  $\varnothing , \{ 2 \} , \{ 6 \} , \{ 2,6 \} , \{ l \} , I$ 
B)  $\varnothing , \{ 2 \} , \{ 6 \} , \{ 2,6 \} , l$ 
C)  $\varnothing  , \{ 2 \} , \{ 6 \} , \{ 2,6 \}$ 
D)   $\varnothing  , \{ 2 \} , \{ 6 \}$ 
E)  $\{ 2 \} , \{ 6 \} , \{ 2,6 \} , \{ I \} , I$ 
A)  $\varnothing , \{ 2 \} , \{ 6 \} , \{ 2,6 \} , \{ l \} , I$ 
B)  $\varnothing , \{ 2 \} , \{ 6 \} , \{ 2,6 \} , l$ 
C)  $\varnothing  , \{ 2 \} , \{ 6 \} , \{ 2,6 \}$ 
D)   $\varnothing  , \{ 2 \} , \{ 6 \}$ 
E)  $\{ 2 \} , \{ 6 \} , \{ 2,6 \} , \{ I \} , I$

List the set in roster form. { $x \mid x$ is a natural number greater than 15}

Do the following sets have the same cardinality? {48, 49, 50, ..., 59, 60} {485, 487, 489, ..., 513, 515}

Write in symbols: the complement of the union of sets $A$ and $B$ .

Specify the set by description. $\{ 10,20,30 , \ldots , 140 \}$

Draw a Venn diagram showing the sets $A$ and $B$ where $A$ is the set of people under age 21, $B$ is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.

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

Translate the following into set notation. C and D

Tell whether you believe that the conjecture is true or false. The product of two odd numbers is even.

The following is a statement. Did you drive to campus on Tuesday?

Let U be the universal set. If $B \subset A$ , describe the following set. $B \cap \bar { A }$

Specify the set by roster. {Counting numbers greater than 142}

Use Venn diagrams to check the validity of the argument. No dogs can talk. All dogs can bark. Therefore, some animals that bark cannot talk. _______________ ( valid / not valid)

List all subsets of the following set. $I = \{ 2,6 \}$

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

List the set in roster form. { x∣xx \mid xx∣x is a natural number greater than 15}

Do the following sets have the same cardinality? {48, 49, 50, ..., 59, 60} {485, 487, 489, ..., 513, 515}

Write in symbols: the complement of the union of sets AAA and BBB .

Specify the set by description. {10,20,30,…,140}\{ 10,20,30 , \ldots , 140 \}{10,20,30,…,140}

Draw a Venn diagram showing the sets AAA and BBB where AAA is the set of people under age 21, BBB is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.

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

Translate the following into set notation. C and D

Tell whether you believe that the conjecture is true or false. The product of two odd numbers is even.

The following is a statement. Did you drive to campus on Tuesday?

Let U be the universal set. If B⊂AB \subset AB⊂A , describe the following set. B∩AˉB \cap \bar { A }B∩Aˉ

Specify the set by roster. {Counting numbers greater than 142}

Use Venn diagrams to check the validity of the argument. No dogs can talk. All dogs can bark. Therefore, some animals that bark cannot talk. _______________ ( valid / not valid)

List all subsets of the following set. I={2,6}I = \{ 2,6 \}I={2,6}

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

List the set in roster form. { $x \mid x$ is a natural number greater than 15}

Write in symbols: the complement of the union of sets $A$ and $B$ .

Specify the set by description. $\{ 10,20,30 , \ldots , 140 \}$

Draw a Venn diagram showing the sets $A$ and $B$ where $A$ is the set of people under age 21, $B$ is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.

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

Let U be the universal set. If $B \subset A$ , describe the following set. $B \cap \bar { A }$

List all subsets of the following set. $I = \{ 2,6 \}$