How To Represent an Empty Set?
Empty sets are represented in set theory by the empty curly brackets {} that are commonly used to designate sets. However, because empty sets are distinct types of sets, they can also be represented by a special character ∅. Consider the case of an empty set A that contains multiples 555of 5 between 6 and 8. The supplied set is empty since there are no multiples of 5 between 6 and 8. Set A = {y: y is a multiple of 5 and 6<y<8.}
- This empty set is denoted by the symbol A = {}
- The same empty set A may alternatively be written using the notations: Empty set = { } or, X = { }.
- To symbolize an empty set, we can use a special symbol ∅.
Empty Set
Empty Sets are sets with no items or elements in them and is also called null set. The empty set is represented by the symbol ∅ = { }. It is pronounced ‘phi’. Set X = {} as an example. It is also known as a void set or a null set. When compared to other sets, empty sets are seen to be distinctive.
Empty sets are used to simplify computations and are most commonly employed when categorizing all the odd items or those considered unusual. Let’s look at definitions, characteristics, and examples in this article.
Table of Content
- Empty Set Definition
- Empty Set Symbol
- Example of Empty Sets
- Properties of Empty Set
- Difference Between Zero Set and Empty Set
- How To Represent an Empty Set?
- Empty Set Venn Diagram