set definitions + rules

Question 1

set

Answer 1

well defined collection of objects

Question 2

elements

Answer 2

objects within a set

Question 3

cardinality

Answer 3

• how many elements are in a set
• denoted by n(P) =
  EX: set P with a cardinality of 5 -> n(P) =5

Question 4

finite set

Answer 4

set with a definite cardinal number

Question 5

infinite set

Answer 5

• set with an infinite cardinal number

Question 6

null/empty set

Answer 6

• set with no elements

- denoted by 🚫, or {}

Question 7

equal/identical set

Answer 7

sets w exactly the same element
can also be equal to a universal set
x = y

Question 8

equivalent sets

Answer 8

• sets with the same number of elements
• sets w the same cardinality
• p q

Question 9

improper subsets

Answer 9

• if every element of set A is in set B :((

- A↪️B (u with the opening to the right side and an underline underneath)

Question 10

proper subset

Answer 10

• if at least one element of B is not in A

- J ↪️ K (w/o underline || u opening to the right side)

Question 11

union

Answer 11

• set consisting of the combined elements of A and B
• when written, elements are written only once
• a union b // aub

Question 12

intersection

Answer 12

• elements common to two or more sets

- anb

Question 13

disjoint sets

Answer 13

sets w no elements in common

Question 14

universal sets

Answer 14

• totality of sets under a particular discussion

- denoted by U

Question 15

complement

Answer 15

• set of elements not in M but are in the universal set

- written as M’ or M^c

Question 16

venn diagram

Answer 16

• illustrates the relationship between 2 sets

Question 17

set builder notation

Answer 17

EX: A = {prime numbers less than 10}

A = {a | a is a vowel in the english alphabet}

Question 18

roster

Answer 18

EX: A = {a, e, i, o, u}

Question 19

rule

Answer 19

• parameters of a set; defines what elements are to be put in a set

Question 20

well defined collection of objects

Answer 20

set

Question 21

objects within a set

Answer 21

elements

Question 22

• how many elements are in a set
• denoted by n(P) =
  EX: set P with a cardinality of 5 -> n(P) =5

Answer 22

cardinality

Question 23

set with a definite cardinal number

Answer 23

finite set

Question 24

• set with an infinite cardinal number

Answer 24

infinite set

Question 25

• set with no elements

- denoted by 🚫, or {}

Answer 25

null/empty set

Question 26

sets w exactly the same element
can also be equal to a universal set
x = y

Answer 26

equal/identical set

Question 27

• sets with the same number of elements
• sets w the same cardinality
• p q

Answer 27

equivalent sets

Question 28

• if every element of set A is in set B :((

- A↪️B (u with the opening to the right side and an underline underneath)

Answer 28

improper subsets

Question 29

• if at least one element of B is not in A

- J ↪️ K (w/o underline || u opening to the right side)

Answer 29

proper subset

Question 30

• set consisting of the combined elements of A and B
• when written, elements are written only once
• a union b // aub

Answer 30

union

Question 31

• elements common to two or more sets

- anb

Answer 31

intersection

Question 32

sets w no elements in common

Answer 32

disjoint sets

Question 33

• totality of sets under a particular discussion

- denoted by U

Answer 33

universal set

Question 34

• set of elements not in M but are in the universal set

- written as M’ or M^c

Answer 34

complement

Question 35

• illustrates the relationship between 2 sets

Answer 35

venn diagram

Question 36

EX: A = {prime numbers less than 10}

A = {a | a is a vowel in the english alphabet}

Answer 36

set builder notation

Question 37

EX: A = {a, e, i, o, u}

Answer 37

roster

Question 38

• parameters of a set; defines what elements are to be put in a set

Answer 38

rule

Question 39

how to solve: (A’uB)’

Answer 39

gemdas!!