Deck 8: Sets and Logic

Question 1

Let The cardinality of S is 6.

Answer 1

False

Question 2

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

A)
B)
C)
D)
E)

Answer 2

E

Question 3

Let .

Answer 3

True

Question 4

Specify the set by description.

A) { letters in the word pencils }
B) not the letters in any English word
C) {letters in the word lincs }
D) { letters in the word pens }
E) {letters in the word pencil }

Question 5

Let .

Question 6

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

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

Question 7

Let N is equivalent to L

Question 8

List the set in roster form. }

A)
B)
C)
D)
E)

Question 9

Let .

Question 10

Specify the set by description.

A) {multiples of 4 greater than 39}
B) {even counting numbers greater than 39}
C) {multiples of 10 between 39 and 4,001}
D) {numbers greater than 39 with a first digit of 4 and other digits of 0}
E) {counting numbers greater than 39}

Question 11

Consider the sets. {four} {letters in the word bush } {5} {4} What is the cardinality of each set?

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

Question 12

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

A)
B)
C)
D)
E)

Question 13

Specify the set by roster. { letters in the word math }

A)
B)
C)
D)
E)

Question 14

Let N = S

Question 15

Specify the set by roster. {even counting numbers less than 12}

A)
B)
C)
D)
E)

Question 16

Specify the set by description.

A) {even counting numbers less than 192}
B) {counting numbers greater than 100}
C) {odd counting numbers less than 191}
D) {counting numbers between 100 and 191}
E) {counting numbers less than 190}

Question 17

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

A)
B)
C)
D)
E)

Question 18

Specify the set by description.

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 19

Specify the set by description.

A) {numbers less than 7}
B) {counting numbers less than or equal to 7}
C) {counting numbers less than 7}
D) {whole numbers less than 7}
E) {odd counting numbers less than 7}

Question 20

List the set in roster form. }

A)
B)
C)
D)
E)

Question 21

Specify the set by roster.
{Positive multiples of 3}

Question 22

Specify the set by description.

Question 23

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

Question 24

Specify the set by roster.
{U.S. president in 2010}

Question 25

Let Which sets are equal? Which sets are equivalent? What is the cardinality of each set?

Question 26

Consider the sets. {letters in the word dog } {4} {three} {3} Which of the sets can be placed into a one-to-one correspondence with ?

Question 27

Specify the set by roster.
{letters in the word son }

Question 28

Specify the set by roster.
{even counting numbers less than 12}

Question 29

Specify the set by description.

Question 30

Specify the set by description.

Question 31

What is wrong, if anything, with the statement? Answer True or False and explain your reasoning.
A set is defined to be a collection of objects.

Question 32

Do the following sets have the same cardinality?
{48, 49, 50, ..., 818, 819}
{485, 487, 489, ..., 1,969, 1,971}
______________________________
( They have the same cardinality . / They do not have the same cardinality .)

Question 33

Consider the sets. {letters in the word pen } {4} {three} What is the cardinality of each set?

Question 34

Specify the set by description.

Question 35

Specify the set by description.

Question 36

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

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

Question 37

Consider the following statement.
A set is defined to be a collection of objects.

Question 38

Consider the sets. {letters in the word pills } {6} {three} {3} Which of the sets can be placed into a one-to-one correspondence with ?

A)
B)
C)
D)
E)

Question 39

Specify the set by description.

Question 40

Consider the following statement.

Question 41

List all subsets of the given set. Identify any of the subsets that are improper.

A) Improper subsets:
B) Improper subsets:
C) Improper subsets:
D) Improper subsets:
E) Improper subset:

Question 42

List all subsets of the given set. Identify any of the subsets that are improper.

A) Improper subset:
B) Improper subsets:
C) Improper subset:
D) Improper subsets:
E) Improper subsets:

Question 43

List all subsets of the given set. Identify any of the subsets that are improper.

A) Improper subsets:
B) Improper subsets:
C) Improper subsets:
D) Improper subsets:
E) Improper subsets:

Question 44

How many subsets are there in a set with elements?

A)
B)
C)
D)
E)

Question 45

Draw a Venn diagram showing the sets and where is the set of people who have had their wisdom teeth removed, is the set of people who have had their appendix removed, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.

A)
B)
C)
D)
E)

Question 46

List all subsets of the given set. Identify any of the subsets that are improper.

A) Improper subsets:
B) Improper subsets:
C) Improper subsets:
D) Improper subsets:
E) Improper subsets:

Question 47

What is wrong, if anything, with the statement? Answer True or False and explain your reasoning.
$$\{ \} = \varnothing$$

Question 48

List all subsets of the following set. K = {6, 7, 8, 9}

A) {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9}
B) {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9}
C) {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9}
D) {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {6, 7, 8, 9}
E) {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, K

Question 49

List all subsets of the following set.

A)
B)
C)
D)
E)

Question 50

List all subsets of the following set.

A)
B)
C)
D)
E)

Question 51

List all subsets of the following set.

A)
B)
C)
D)
E)

Question 52

Draw a Venn diagram showing the sets and where is the set of ducks, is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.

A)
B)
C)
D)
E)

Question 53

List all subsets of the given set. Identify any of the subsets that are improper.

A) Improper subset:
B) Improper subsets: none
C) Improper subset:
D) Improper subsets:
E) Improper subsets: none

Question 54

Draw a Venn diagram showing the sets and where is the set of flowers, is the set of flagpoles, is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.

A)
B)
C)
D)
E)

Question 55

List all subsets of the given set. Identify any of the subsets that are improper.

A) Improper subsets:
B) Improper subsets:
C) Improper subsets:
D) Improper subsets:
E) Improper subsets:

Question 56

Draw a Venn diagram showing the sets and where is the set of people under age 21, 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.

A)
B)
C)
D)
E)

Question 57

List all subsets of the following set.

A)
B)
C)
D)
E)

Question 58

If has a cardinality, what is it? Explain.

Question 59

List all subsets of the given set. Identify any of the subsets that are improper. {6, 7, 8, 9}

A) {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9}
B) {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9}
C) {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9}
D) {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9}
E) {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9}

Question 60

How many subsets are there in a set with elements?

A)
B)
C)
D)
E)

Question 61

How many subsets are there in a set with elements?

Question 62

Write the words in symbols: For the sets A and B,
B is a proper subset of A.

A)
B)
C)
D)
E)

Question 63

How many subsets are there for a set with elements?

Question 64

List all subsets of the following set.

Question 65

List all subsets of the following set.

Question 66

Write the words in symbols:
For the sets A and B,
B is a proper subset of A.

Question 67

Write the words in symbols:
For the sets D and E,
D is a subset of E.

Question 68

Write in words what the symbols mean about sets C and D.

Question 69

How many proper subsets does the set have?

Question 70

Write the words in symbols: For the sets G and H,
G is a subset of H.

A)
B)
C)
D)
E)

Question 71

List all subsets of the following set.

Question 72

Draw a Venn diagram showing the sets and where is the set of natural numbers, is the set of integers, is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.

A)
B)
C)
D)
E)

Question 73

How many subsets does the set have?

Question 74

How many subsets are there in a set with cardinality of 7? Simplify your answer completely.

Question 75

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

Question 76

How many subsets does the set have?

Question 77

List all subsets of the following set.

Question 78

List all subsets of the following set.

Question 79

Draw a Venn diagram showing the sets and where is the set of people in a classroom with blue eyes, is the set of people in the classroom with black shoes, is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.

A)
B)
C)
D)
E)

Question 80

Write the words in symbols:
The empty set is a proper subset of the set E.