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.

Notes:

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

Sets

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

Subset

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. Multiplication of a Number by a 3-Digit Number |3-Digit Multiplication

    Mar 28, 24 11:44 AM

    Multiplying by 3-Digit Number
    In multiplication of a number by a 3-digit number are explained here step by step. Consider the following examples on multiplication of a number by a 3-digit number: 1. Find the product of 36 × 137

    Read More

  2. Multiply a Number by a 2-Digit Number | Multiplying 2-Digit by 2-Digit

    Mar 27, 24 05:21 PM

    Multiply 2-Digit Numbers by a 2-Digit Numbers
    How to multiply a number by a 2-digit number? We shall revise here to multiply 2-digit and 3-digit numbers by a 2-digit number (multiplier) as well as learn another procedure for the multiplication of…

    Read More

  3. Multiplication by 1-digit Number | Multiplying 1-Digit by 4-Digit

    Mar 26, 24 04:14 PM

    Multiplication by 1-digit Number
    How to Multiply by a 1-Digit Number We will learn how to multiply any number by a one-digit number. Multiply 2154 and 4. Solution: Step I: Arrange the numbers vertically. Step II: First multiply the d…

    Read More

  4. Multiplying 3-Digit Number by 1-Digit Number | Three-Digit Multiplicat

    Mar 25, 24 05:36 PM

    Multiplying 3-Digit Number by 1-Digit Number
    Here we will learn multiplying 3-digit number by 1-digit number. In two different ways we will learn to multiply a two-digit number by a one-digit number. 1. Multiply 201 by 3 Step I: Arrange the numb…

    Read More

  5. Multiplying 2-Digit Number by 1-Digit Number | Multiply Two-Digit Numb

    Mar 25, 24 04:18 PM

    Multiplying 2-Digit Number by 1-Digit Number
    Here we will learn multiplying 2-digit number by 1-digit number. In two different ways we will learn to multiply a two-digit number by a one-digit number. Examples of multiplying 2-digit number by

    Read More