Set Notations in LaTeX

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

[Tex]\varnothing[/Tex]

. 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