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




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.



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.




Share this page: What’s this?

Recent Articles

  1. Quadrilaterals | Four Sided Polygon | Closed Figure | Adjoining Figure

    Jul 14, 25 02:55 AM

    Square
    Quadrilaterals are known as four sided polygon.What is a quadrilateral? A closed figure made of our line segments is called a quadrilateral. For example:

    Read More

  2. Formation of Numbers | Smallest and Greatest Number| Number Formation

    Jul 14, 25 01:53 AM

    In formation of numbers we will learn the numbers having different numbers of digits. We know that: (i) Greatest number of one digit = 9,

    Read More

  3. 5th Grade Geometry Practice Test | Angle | Triangle | Circle |Free Ans

    Jul 14, 25 01:53 AM

    Name the Angles
    In 5th grade geometry practice test you will get different types of practice questions on lines, types of angle, triangles, properties of triangles, classification of triangles, construction of triang…

    Read More

  4. 5th Grade Circle Worksheet | Free Worksheet with Answer |Practice Math

    Jul 11, 25 02:14 PM

    Radii of the circRadii, Chords, Diameters, Semi-circles
    In 5th Grade Circle Worksheet you will get different types of questions on parts of a circle, relation between radius and diameter, interior of a circle, exterior of a circle and construction of circl…

    Read More

  5. Construction of a Circle | Working Rules | Step-by-step Explanation |

    Jul 09, 25 01:29 AM

    Parts of a Circle
    Construction of a Circle when the length of its Radius is given. Working Rules | Step I: Open the compass such that its pointer be put on initial point (i.e. O) of ruler / scale and the pencil-end be…

    Read More