Name all types of sets with …

Empty Sets

The set, which has no elements or null elements. This is also called a Null set or Void set. It is denoted by {}.

For example: Let, Set X = {x:x is the number of students studying in Class 6th and Class 7th}

Singleton Sets

The set which has only one element is called a singleton set.

For example, Set X = { 2 } is a singleton set.

Finite and Infinite Sets

Finite sets are the one which has a finite number of elements and Infinite sets are those whose number of elements cannot be estimated but it has some figure or number, which is very large to express in a set.

For example, Set X = {1,2,3,4,5} is a finite set, as it has a finite number of elements in it.

Set Y = {Number of Animals in India} is an infinite set, as there is an approximate number of Animals in India, but actual value cannot be expressed, as the numbers could be very large.

Equal Sets

Two sets X and Y are said to be equal if every element of set X is also the elements of set Y and if every element of set Y is also the elements of set X. It means set X and set Y have the same elements and we can denote it as;

X = Y

For example, Let X = { 1,2,3,4} and Y = {4,3,2,1}, then X = Y

Power Sets

The power set is nothing but the set of all subsets. Let us explain how.

We know the empty set is a subset of all sets and every set is a subset of itself. Taking an example of set X = {2,3}. From the above given statements we can write,

{} is a subset of {2,3}

Universal Sets

A universal set is a set which contains all the elements of other sets. Generally, it is represented as ‘U’.

For example; set X = {1,2,3}, set Y = {3,4,5,6} and Z = {5,6,7,8,9}