Set Theory Symbol in Maths
Some of the most common symbols in Set Theory are listed in the following table:
Symbol | Name | Meaning | Example |
---|---|---|---|
{ } | Set | It is used to determine the elements in a set. | {1, 2, a, b} |
| | Such that | It is used to determine the condition of the set. | { a | a > 5} |
: | { x : x > 0} | ||
β | belongs to | It determines that an element belongs to a set. | A = {1, 5, 7, c, a} 7 β A |
β | not belongs to | It indicates that an element does not belong to a set. | A = {1, 5, 7, c, a} 0 β A |
= | Equality Relation | It determines that two sets are exactly same. | A = {1, 2, 3} B = {1, 2, 3} then A = B |
β | Subset | It represents all of the elements of set A are present in set B or set A is equals to set B | A = {1, 3, a} B = {a, b, 1, 2, 3, 4, 5} A β B |
β | Proper Subset | It represents all of the elements of set A are present in set B and set A is not equal to set B. | A = {1, 2, a} B = {a, b, c, 2, 4, 5, 1} A β B |
β | Not a Subset | It determines A is not a subset of set B. | A = {1, 2, 3} B = {a, b, c} A β B |
β | Superset | It represents all of the elements of set B are present in set A or set A is equals to set B | A = {1, 2, a, b, c} B = {1, a} A β B |
β | Proper Superset | It determines A is a superset of B but set A is not equal to set B | A = {1, 2, 3, a, b} B = {1, 2, a} A β B |
Γ | Empty Set | It determines that there is no element in a set. | { } = Γ |
U | Universal Set | It is set that contains elements of all other relevant sets. | A = {a, b, c} B = {1, 2, 3}, then U = {1, 2, 3, a, b, c} |
|A| or n{A} | Cardinality of a Set | It represents the number of items in a set. | A= {1, 3, 4, 5, 2}, then |A|=5. |
P(X) | Power Set | It is the set that contains all possible subsets of a set A, including the set itself and the null set. | If A = {a, b} P(A) = {{ }, {a}, {b}, {a, b}} |
βͺ | Union of Sets | It is a set that contains all the elements of the provided sets. | A = {a, b, c} B = {p, q} A βͺ B = {a, b, c, p, q} |
β© | Intersection of Sets | It shows the common elements of both sets. | A = { a, b} B= {1, 2, a} A β© B = {a} |
Xc OR Xβ | Complement of a set | Complement of a set includes all other elements that does not belongs to that set. | A = {1, 2, 3, 4, 5} B = {1, 2, 3} then Xβ² = A β B Xβ² = {4, 5} |
β | Set Difference | It shows the difference of elements between two sets. | A = {1, 2, 3, 4, a, b, c} B = {1, 2, a, b} A β B = {3, 4, c} |
Γ | Cartesian Product of Sets | It is the product of the ordered components of the sets. | A = {1, 2} and B = {a} A Γ B ={(1, a), (2, a)} |
Maths Symbols β Basic Mathematics Symbols
Maths symbols are figures or combinations of figures that represent mathematical objects, actions, or relations. They are used to solve mathematical problems quickly and easily.
Foundation of mathematics lies in its symbols and numbers. The symbols in mathematics are used to perform various mathematical operations. The symbols help us to define a relationship between two or more quantities. This article will cover some basic Math symbols along with their descriptions and examples.
Table of Content
- Symbols in Maths
- List of All Maths Symbols
- Algebra Symbols in Maths
- Geometry Symbols in Maths
- Set Theory Symbol in Maths
- Calculus and Analysis Symbols in Maths
- Combinatorics Symbols in Maths
- Numeral Symbols in Maths
- Greek Symbols in Maths
- Logic Symbols in Maths
- Discrete Mathematics Symbols