Set Theory Symbols

Question 1

{ }

Answer 1

Set

a collection of elements

Question 2

A ∪ B

Answer 2

Union

in A or B (or both)

Question 3

A ∩ B

Answer 3

Intersection

in both A and B

Question 4

A ⊆ B

Answer 4

Subset

A has some (or all) elements of B

Question 5

A ⊂ B

Answer 5

Proper Subset

A has some elements of B

Question 6

A ⊄ B

Answer 6

Not a Subset

A is not a subset of B

Question 7

A ⊇ B

Answer 7

Superset

A has same elements as B, or more

Question 8

A ⊃ B

Answer 8

Proper Superset

A has B’s elements and more

Question 9

A ⊅ B

Answer 9

Not a Superset

A is not a superset of B

Question 10

A∆B

Answer 10

Symmetric Difference

Objects that belong to A or B but not to their intersection

Question 11

A⊖B

Answer 11

Symmetric Difference

Objects that belong to A or B but not to their intersection

Question 12

A×B

Answer 12

Cartesian Product

Set of all ordered pairs from A and B
A×B = {(a,b)|a∈A , b∈B}

Question 13

|A|

Answer 13

Cardinality

The number of elements of set A
A={3,9,14}, |A|=3

Question 14

Ø

Answer 14

Empty Set

Ø = {} A = Ø

Question 15

ℝ

Answer 15

Real Numbers

Can be defined as the union of both rational and irrational numbers.

Question 16

ℂ

Answer 16

Complex Numbers

Question 17

ℤ

Answer 17

Integer Numbers

Denote the set of integers.
ℤ={…,−3,−2,−1,0,1,2,3,…}