Relations in Mathematics

1. What is Relations in Math?

Relation in maths is a relationship between two sets that represents how the value of the first set is connected to the value of the second set.

2. What are the Types of Relation?

Relations between two sets are of various types and some of them are added below,

• Empty Relation
• Reflexive Relation
• Symmetric Relation
• Transitive Relation
• Equivalence Relation
• Universal Relation
• Identity Relation
• Inverse Relation

3. What is Relations Class 11?

Relation is introduced to students in class 11 in set theory and a relation R in mathematics is defined as the subset of the cartesian product of X × Y, where X and Y are two non-empty sets.

4. What are Properties of Relations?

Various properties of the relation are,

• Reflexive Property
• Symmetric Property
• Transitive Property

All these properties are explained in the article above.

5. What is a Null Relation?

An empty relation in mathematics also called the null relation is a relation where no element of the first set is mapped with the element of the second set.

6. Is a Relation a Function?

A relation may or may not be a function. A function is a unique relation in which each element of set A is uniquely related to the element of set B which is not the case in Relation. So we can say that each function is a relation but not every relation is a function.

7. Which Relation is Not a Function?

A relation on two sets set A and set B is not a function if one element of set A is linked with more than one value of set B then it is a relation but not a function example, R {(-1, 1), (1, 1)} is a relation but not a function.

Relation in mathematics is defined as the well-defined relationship between two sets. The relation connects the value of the first set with the value of the second set. We represent relation in mathematics using the ordered pair. If we are given two sets Set X and Set Y then the relation between them is represented using the ordered pair (x, y) such that, x ϵ X and y ϵ Y.

Relations are used in mathematics, statistics, and data sciences. It is an integral part of RDBMS (Relational Database Management Systems) that is used in searching, storing, and sorting large data.

In this article, we will learn about, Relation in Mathematics, Example of Relation, Types of Relation, and others in detail.