Difference Between Zero Set and Empty Set
The difference between a zero set and an empty set is discussed in the table added below,
|
Zero Set |
Empty Set |
|---|---|
| A zero set is a set in which zero is the alone element. | An empty set is one that has no elements. |
| It is represented by the number {0}. | It is represented as {}. |
|
Example, Suppose P = {0} The set symbolizes a zero set that contains just zero. |
Example, A set Q = { x: x is a prime number between 20<x<23} The numbers that run from 20 to 23 are 21, 22. Because both of them are not prime, set Q is empty. Q = { } OR Q = ∅ |
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