# Relation

## What is Equivalence Relation – Definition and Examples

Here you will learn what is equivalence relation on a set with definition and examples. Let’s begin – What is Equivalence Relation ? Definition : A relation R on a set A is said to be an equivalence relation on A iff it is (i) reflexive i.e. (a, a) $$\in$$ R for all a $$\in$$ …

## What is Antisymmetric Relation – Definition and Examples

Here you will learn what is antisymmetric relation on sets with definition and examples. Let’s begin – What is Antisymmetric Relation ? Definition : Let A be any set. A relation R on set A is said to be an antisymmetric relation iff (a, b) $$\in$$ R and (b, a) $$\in$$ R $$\implies$$ a = …

## What is Transitive Relation – Definition and Examples

Here you will learn what is transitive relation on set with definition and examples based on it. Let’s begin – What is Transitive Relation ? Definition : Let A be any set. A relation R on A is said to be a transitive relation iff (a, b) $$\in$$ R and  (b, c) $$\in$$ R  $$\implies$$  …

## What is Symmetric Relation – Definition and Examples

Here you will learn what is symmetric relation on sets with definition and examples. Let’s begin – What is Symmetric Relation ? Definition : A relation R on a set A is said to be a symmetric relation iff (a, b) $$\in$$ R $$\implies$$ (b, a) $$\in$$ R for all a, b $$\in$$ A  i.e. …

## What is Reflexive Relation – Definition and Examples

Here you will learn what is reflexive relation on set with definition and examples. Let’s begin – What is Reflexive Relation ? Definition : A relation R on a set A is said to be reflexive if every element of A is related to itself. Thus, R is reflexive $$\iff$$ (a, a) $$\in$$ R for …

## Relations Examples

Here you will learn some relations examples for better understanding of relation concepts. Example 1 : If A = {2, 4} and B = {3, 4, 5} then (A $$\cap$$ B) $$\times$$ (A $$\cup$$ B) Solution : (A $$\cap$$ B) = {4} and (A $$\cup$$ B) = {2, 3, 4, 5} $$\therefore$$ (A $$\cap$$ B) …

## What is Inverse Relation – Definition and Example

Here you will learn what is inverse relation, identity relation and posets in relation with example. Let’s begin – Definition of Inverse Relation If relation R is defined from A to B, then inverse relation would be defined form B to A, i.e. R : A $$\rightarrow$$ B $$\implies$$ aRb where a $$\in$$ A, b …

## What is Cartesian Product of Sets – Definition and Example

Here you will learn what is cartesian product of sets and what is relation and inverse relation with example. Let’s begin – Cartesian Product of Sets The cartesian product of two sets A, B is a non-void set of all ordered pair (a,b), where a $$\in$$ A and b $$\in$$ B. This is denoted by …

## Types of Relations in Math

In this post, we will learn various types of relations in math on a set. Let’s begin- Types of Relations in Math 1). Void, Universal and Identity Relation Void Relation : Let A be a set. Then $$\phi$$ $$\subseteq$$ A $$\times$$ A and so it is a relation on A. This relation is called  the void …