Set Theory

Question 1

an unordered collection of distinct elements (items).

Answer 1

Set

Question 2

The two main ways to construct a set using symbols.

Answer 2

Roster and Set Builder

Question 3

Which type of set construction uses

Answer 3

Roster Notation

Question 4

Which type of set construction uses

Answer 4

Set Builder Notation

Question 5

“Such That” Symbol

Answer 5

(:)

Question 6

Answer 6

The set of everything

Question 7

The set of everything

Answer 7

Question 8

Answer 8

The set of nothing

Question 9

The set of nothing

Answer 9

Question 10

Answer 10

{1, 2, 3, 4, …}

Question 11

Answer 11

{0, 1, 2, 3, 4, …}

Question 12

Answer 12

{…, −2, −1, 0, 1, 2, …}

Question 13

Answer 13

Question 14

Answer 14

The set of any positive, negative, or zero value

Question 15

{1, 2, 3, 4, …}

Answer 15

Question 16

{0, 1, 2, 3, 4, …}

Answer 16

Question 17

{…, −2, −1, 0, 1, 2, …}

Answer 17

Question 18

Answer 18

Question 19

The set of any positive, negative, or zero value

Answer 19

Question 20

Answer 20

The compliment of set A

Question 21

Answer 21

Question 22

Answer 22

Question 23

Answer 23

Question 24

Answer 24

Question 25

Answer 25

Question 26

The ___ of two sets (A and B) is the elements that are in A, but not B.

Answer 26

Difference ()

Question 27

Answer 27

{2}

Question 28

Answer 28

{3.5}

Question 29

Assume A = {1, 2, 3}, B = {2, 4, 6}, C = {3, 4, 5}, and U = {1, 2, 3, 4, 5, 6}

Answer 29

{2,3,4,5}

Question 30

Assume A = {1, 2, 3}, B = {2, 4, 6}, C = {3, 4, 5}, and U = {1, 2, 3, 4, 5, 6}

Answer 30

{2,3}

Question 31

Assume A = {1, 2, 3}, B = {2, 4, 6}, C = {3, 4, 5}, and U = {1, 2, 3, 4, 5, 6}

Answer 31

{}

Question 32

Assume A = {1, 2, 3}, B = {2, 4, 6}, C = {3, 4, 5}, and U = {1, 2, 3, 4, 5, 6}

Answer 32

{1,2,4,5,6}

Question 33

Answer 33

Element of / Membership / Containment

Question 34

Answer 34

Subset of

Question 35

Shorthand for

Answer 35

Question 36

Shorthand for

Answer 36

Question 37

Answer 37

Question 38

Answer 38

Question 39

States that two sets are equal

Answer 39

Set Equality (=)

Question 40

Answer 40

Double Negation

Question 41

Answer 41

Commutative

Question 42

Answer 42

Associative

Question 43

Answer 43

Distributive

Question 44

Answer 44

DeMorgan’s

Question 45

Answer 45

Absorption

Question 46

Answer 46

Idempotent

Question 47

Answer 47

Identity

Question 48

Answer 48

Inverse

Question 49

Answer 49

Domination

Question 50

The ___ of a set is the number of elements in it.

Answer 50

Cardinality

Question 51

denoted using surrounding bars like those of the absolute value (||).

Answer 51

Cardinality

Question 52

|{1,2,3}| =

Answer 52

3

Question 53

Answer 53

0

Question 54

Answer 54

Question 55

T or F. A set can contain itself.

Answer 55

False

Question 56

T or F. A set can’t contain itself.

Answer 56

True

Question 57

The ___ of a set (A) is the set of all subsets of A.

Answer 57

Power Set

Question 58

The cardinality of a Power Set is

Answer 58

2 to the cardinality of the original set.

Question 59

T or F. The power set of a set (A) contains A.

Answer 59

True

Question 60

T or F. The power set of a set (A) doesn’t contain A.

Answer 60

False

Question 61

Answer 61

8

Question 62

Answer 62

3

Question 63

Answer 63

Cannot be determined