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Set Notations in LaTeX

Last Updated : 15 Apr, 2024
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Set notation –

In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements or stating the properties that its members must satisfy. For example, empty set is represented as

\varnothing

. So Let’s see the latex code of Set Notations one by one.

Set notation and their Latex Code :

TERM

SYMBOL

LaTeX

Empty Set

∅ or {}

\emptyset or \{\}

Universal Set

U

\mathbb{U}

Subset

⊆ or ⊂

\subseteq or \subset

Proper Subset

\subset

Superset

⊇ or ⊃

\supseteq or \supset

Proper Superset

\supset

Element

\in

Not an Element

\notin

Union

\cup

Intersection

\cap

Complement

\

\complement

Set Difference

\

\setminus

Power Set

\wp

Cartesian Product

×

\times

Cardinality


A

Set Builder Notation

{ x | P(x) }

\{ x | P(x) \}

Set Membership Predicate

P(x) ∈ A

P(x) \in A

Set Minus

A – B

A – B

Set Inclusion Predicate

A ⊆ B

A \subseteq B

Set Equality

A = B

A = B

Disjoint Sets

A ∩ B = ∅

A \cap B = \emptyset

Subset Not Equal to

A ⊊ B

A \subsetneq B

Superset Not Equal to

A ⊋ B

A \supsetneq B

Symmetric Difference

A Δ B

A \triangle B

Subset of or Equal to

A ⊆ B or A = B

A \subseteq B \text{ or } A = B

Proper Subset of or Equal to

A ⊆ B but A ≠ B

A \subseteq B \text{ but } A \neq B

Cartesian Power

A^n

A^{n}

Union of Sets

⋃ A

\bigcup A

Intersection of Sets

⋂ A

\bigcap A

Cartesian Product of Sets

⨉ A

\bigtimes A

Set of All Functions from A to B

B^A

B^{A}

Set of All Relations from A to B

A×B

A \times B


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