Are Two Empty Sets Disjoint?
According to the definition and condition of the disjoint sets, if the intersection of sets results in an empty set, then the sets are called disjoint sets. When we perform the intersection of two empty sets it results in an empty set i.e., it satisfies the condition for disjoint sets.
ϕ ∩ ϕ = ϕ
Thus, the empty set is a disjoint set of itself.
Disjoint Sets
Disjoint Sets are one of the types of many pair of sets, which are used in Set Theory, other than this other types are equivalent sets, equal sets, etc. Set Theory is the branch of mathematics that deals with the collection of objects and generalized various properties for these collections of objects.
In this article, we will learn about Disjoint Sets in detail including their definition, condition, and Venn diagram. We will also learn about how to check disjoint sets and disjointed unions of sets along with the examples. Disjoint sets are used in various fields of mathematics and data structures. Let’s start our learning on the topic of Disjoint Sets.\
Table of Content
- What is Disjoint Set?
- Disjoint Set Definition
- Condition for Disjoint Sets
- How to Check if Sets are Disjoint or Not?
- Disjoint Set Example
- Disjoint Set Venn Diagram
- Pairwise Disjoint Set
- Disjoint Union of Set
- Are Two Empty Sets Disjoint?
- Difference Between Joint and Disjoint Sets
- Solved Examples
- FAQs
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