# Sets

## Complement of a Set – Venn Diagram and Examples

Here you will learn what is the complement of a set definition with venn diagram and examples. Let’s begin – Complement of a Set Definition : Let U be the universal set and let A be a set such that A $$\subset$$ U. Then, the complement of A with respect to U is denoted by …

## Symmetric Difference of Two Sets – Venn Diagram and Examples

Here you will learn what is the symmetric difference of two sets with venn diagram and examples. Let’s begin – Symmetric Difference of Two Sets Definition : Let A and B be two sets. The symmetric difference of sets A and B is the set (A – B) $$\cup$$ (B – A) and is denoted …

## Difference of Sets – Venn Diagram and Examples

Here you will learn what is the difference of two sets with venn diagram and examples. Let’s begin – What is Difference of Two Sets ? Definition : Let A and B be two sets. The difference of A and B, written as A – B, is the set of all those elements of A …

## Union of Sets – Definition and Venn Diagram with Examples

Here you will learn what is the union of sets with definition and venn diagram representation and examples. Let’s begin – What is the Union of Sets ? Definition : Let A and B be two sets. The union of A and B is the set of all those elements which belong either to A …

## Intersection of Sets – Definition and Venn Diagram with Examples

Here you will learn what is the intersection of sets with definition and venn diagram and examples. Let’s begin – What is the Intersection of Sets ? Definition : Let A and B be two sets. The intersection of A and B is the set of all those elements that belong to both A and …

## What are Disjoint Sets – Venn Diagram and Examples

Here you will learn what are disjoint sets in set theory with venn diagram and examples. Let’s begin – What are Disjoint Sets ? Definition : Two set A and B are said to be disjoint, if $$A \cap B$$ = $$\phi$$. If $$A \cap B$$ $$\ne$$ $$\phi$$, then A and B are said to …

## What is Power Set – Definition, Formula and Examples

Here you will learn what is power set and its definition with examples. Let’s begin – What is Power Set ? Definition : Let A be a set. Then the collection or family of all subsets of A is called the power set of A and is denoted by P(A). That is,  P(A) = { …

## What is Universal Set – Definition and Examples

Here you will learn what is universal set with examples. Let’s begin – What is Universal Set ? Definition : In set theory, there always happens to be a set that contains all sets under consideration i.e. it is a superset of each of the given sets. Such a set is called universal set and …

## What are Subsets in Math – Proper and Improper Subsets

Here you will learn what are subsets in math i.e. proper subsets and improper subsets with examples. Let’s begin – What are Subsets in Math ? Definition : Let A and B be two sets. If every element of A is an element of B, then A is called a subset of B. If A …

## Equal Sets and Equivalent Sets – Definition and Example

Here you will learn definition of equal sets and equivalent sets with examples. Let’s begin – Equal Sets and Equivalent Sets (i) Equal Sets : Two finite sets A and B are equivalent if their cardinal numbers are same i.e. n(A) = n(B). Where cardinal number means numbers of elements in a set. (ii) Equivalent …