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9/29/21, 2:21 PM
Set symbols of set theory (Ø,U,{},∈,...)
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Home › Math › Math symbols › Set symbols
Set Theory Symbols
List of set symbols of set theory and probability.
Table of set theory symbols
Symbol
Meaning /
definition
Symbol Name
Example
set
a collection of elements
A = {3,7,9,14},
B = {9,14,28}
such that
so that
A = {x | x∈ , x<0}
A⋂
B
intersection
objects that belong to
set A and set B
A ⋂ B = {9,14}
A⋃
B
union
objects that belong to
set A or set B
A⋃B=
{3,7,9,14,28}
A⊆
B
subset
A is a subset of B. set A
is included in set B.
{9,14,28} ⊆
{9,14,28}
A⊂
B
proper subset / strict
subset
A is a subset of B, but A
is not equal to B.
{9,14} ⊂ {9,14,28}
A⊄
B
not subset
set A is not a subset of
set B
{9,66} ⊄ {9,14,28}
A⊇
B
superset
A is a superset of B. set
A includes set B
{9,14,28} ⊇
{9,14,28}
A⊃
B
proper superset / strict
superset
A is a superset of B, but
B is not equal to A.
not superset
set A is not a superset
of set B
power set
all subsets of A
power set
all subsets of A
Set symbols
P(A)
power set
all subsets of A
Calculus symbols
ℙ(A)
power set
all subsets of A
{}
|
A⊅
B
A
2
{9,14,28} ⊅ {9,66}
Geometry symbols
Statistical symbols
both sets have the
same members
Ac
complement
all the objects that do
not belong to set A
A'
complement
Symbol
Math symbols
Algebra symbols
equality
A=B
{9,14,28} ⊃ {9,14}
MATH SYMBOLS
Symbol Name
all the objects that do
not belong to set A
Meaning /
definition
objects that belong to A
https://www.rapidtables.com/math/symbols/Set_Symbols.html
Logic symbols
Number symbols
A={3,9,14},
B={3,9,14},
A=B
Greek symbols
Roman numerals
RAPID TABLES
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Example
A = {3,9,14},
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9/29/21, 2:21 PM
Set symbols of set theory (Ø,U,{},∈,...)
A\B
relative complement
objects that belong to A
and not to B
A-B
relative complement
objects that belong to A
and not to B
A = {3,9,14},
B = {1,2,3},
A - B = {9,14}
A∆B
symmetric difference
objects that belong to A
or B but not to their
intersection
A = {3,9,14},
B = {1,2,3},
A ∆ B = {1,2,9,14}
A⊖
B
symmetric difference
objects that belong to A
or B but not to their
intersection
A = {3,9,14},
B = {1,2,3},
A ⊖ B = {1,2,9,14}
a∈A
element of,
belongs to
set membership
A={3,9,14}, 3 ∈ A
x∉A
not element of
no set membership
A={3,9,14}, 1 ∉ A
(a,b)
ordered pair
collection of 2 elements
A×B
cartesian product
set of all ordered pairs
from A and B
A×B = {(a,b)|a∈A ,
b∈B}
|A|
cardinality
the number of elements
of set A
A={3,9,14}, |A|=3
#A
cardinality
the number of elements
of set A
A={3,9,14}, #A=3
|
vertical bar
such that
A={x|3<x<14}
ℵ0
aleph-null
infinite cardinality of
natural numbers set
ℵ1
aleph-one
cardinality of countable
ordinal numbers set
Ø
empty set
Ø = {}
universal set
set of all possible values
B = {1,2,3},
A \ B = {9,14}
About
A=Ø
ℕ0
natural numbers / whole
numbers set (with zero)
0 = {0,1,2,3,4,...}
0∈
0
ℕ1
natural numbers / whole
numbers set (without
zero)
1 = {1,2,3,4,5,...}
6∈
1
=
-6 ∈
{...-3,-2,-1,0,1,2,3,...}
ℤ
integer numbers set
ℚ
rational numbers set
= {x | x=a/b, a,b∈
and b≠0}
2/6 ∈
ℝ
real numbers set
= {x | -∞ < x <∞}
6.343434 ∈
ℂ
complex numbers set
= {z | z=a+bi,
6+2i ∈
-∞<a<∞, -∞<b<∞}
Statistical symbols ►
See also
Probability & statistics symbols
Math symbols
https://www.rapidtables.com/math/symbols/Set_Symbols.html
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9/29/21, 2:21 PM
Set symbols of set theory (Ø,U,{},∈,...)
Math symbols
Logic symbols
Probability & statistics
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