Pairs of Sets

The relations are stated between the pairs of sets. Learn to state, giving reasons whether the following sets are equivalent or equal, disjoint or overlapping.

Equal Set:

Two sets A and B are said to be equal if all the elements of set A are in set B and vice versa. The symbol to denote an equal set is =.

A = B means set A is equal to set B and set B is equal to set A. 

For example;

A = {2, 3, 5} 

B = {5, 2, 3}

Here, set A and set B are equal sets.

Equivalent Set:

Two sets A and B are said to be equivalent sets if they contain the same number of elements. The symbol to denote equivalent set is .

A ↔ means set A and set B contain the same number of elements.

For example;

A = {p, q, r}

B = {2, 3, 4}

Here, we observe that both the sets contain three elements.


Equal sets are always equivalent.

Equivalent sets may not be equal.

Disjoint Sets:

Two sets A and B are said to be disjoint, if they do not have any element in common.

For example;

A = {x : x is a prime number}

B = {x : x is a composite number}.

Clearly, A and B do not have any element in common and are disjoint sets.

Overlapping sets:

Two sets A and B are said to be overlapping if they contain at least one element in common.

For example;

A = {a, b, c, d}

B = {a, e, i, o, u}

X = {x : x ∈ N, x < 4}

Y = {x : x ∈ I, -1 < x < 4}

Here, the two sets contain three elements in common, i.e., (1, 2, 3)

The above explanations will help us to find whether the pairs of sets are equal sets or equivalent sets, disjoint sets or overlapping sets.

Set Theory


Objects Form a Set

Elements of a Set

Properties of Sets

Representation of a Set

Different Notations in Sets

Standard Sets of Numbers

Types of Sets

Pairs of Sets


Subsets of a Given Set

Operations on Sets

Union of Sets

Intersection of Sets

Difference of two Sets

Complement of a Set

Cardinal number of a set

Cardinal Properties of Sets

Venn Diagrams

7th Grade Math Problems

From Pairs of Sets to HOME PAGE

New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

Share this page: What’s this?

Recent Articles

  1. Rupees and Paise | Paise Coins | Rupee Coins | Rupee Notes

    Dec 04, 23 02:14 PM

    Different types of Indian Coins
    Money consists of rupees and paise; we require money to purchase things. 100 paise make one rupee. List of paise and rupees in the shape of coins and notes:

    Read More

  2. Months of the Year | List of 12 Months of the Year |Jan, Feb, Mar, Apr

    Dec 04, 23 01:50 PM

    Months of the Year
    There are 12 months in a year. The months are January, February, march, April, May, June, July, August, September, October, November and December. The year begins with the January month. December is t…

    Read More

  3. The Story about Seasons | Spring | Summer | Autumn | Winter

    Dec 04, 23 01:49 PM

    The Four Seasons
    Kids let’s enjoy the story about seasons. Here we will discuss about the four seasons and the duration. Some months are too hot and some are too cold. The period of hot months is called the hot

    Read More