Different Notations in Sets

What are the different notations in sets?

To learn about sets we shall use some accepted notations for the familiar sets of numbers.

Some of the different notations used in sets are:

: or |

n(A)

N

W

I or Z

Z+

Q

Q+

R

R+

C

Belongs to 

Does not belongs to 

Such that

Null set or empty set

Cardinal number of the set A

Union of two sets

Intersection of two sets

Set of natural numbers = {1, 2, 3, ……}

Set of whole numbers = {0, 1, 2, 3, ………}

Set of integers = {………, -2, -1, 0, 1, 2, ………}

Set of all positive integers

Set of all rational numbers

Set of all positive rational numbers

Set of all real numbers

Set of all positive real numbers

Set of all complex numbers

These are the different notations in sets generally required while solving various types of problems on sets.

Note:

(i) The pair of curly braces {  } denotes a set. The elements of set are written inside a pair of curly braces separated by commas.

(ii) The set is always represented by a capital letter such as; A, B, C, …….. .

(iii) If the elements of the sets are alphabets then these elements are written in small letters.

(iv) The elements of a set may be written in any order.

(v) The elements of a set must not be repeated.

(vi) The Greek letter Epsilon ‘∈’ is used for the words ‘belongs to’, ‘is an element of’, etc.

Therefore, x ∈ A will be read as ‘x belongs to set A’ or ‘x is an element of the set A'.

(vii) The symbol ‘∉’ stands for ‘does not belongs to’ also for ‘is not an element of’.

Therefore, x ∉ A will read as ‘x does not belongs to set A’ or ‘x is not an element of the set A'.

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 Different Notations in 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.



Share this page: What’s this?

Recent Articles

  1. Adding 1-Digit Number | Understand the Concept one Digit Number

    Apr 26, 24 01:55 PM

    Add by Counting Forward
    Understand the concept of adding 1-digit number with the help of objects as well as numbers.

    Read More

  2. Subtracting 2-Digit Numbers | How to Subtract Two Digit Numbers?

    Apr 26, 24 12:36 PM

    Subtracting 2-Digit Numbers
    In subtracting 2-digit numbers we will subtract or minus a two-digit number from another two-digit number. To find the difference between the two numbers we need to ‘ones from ones’ and ‘tens from

    Read More

  3. 1st Grade Word Problems on Subtraction | Subtracting 2-Digit Numbers

    Apr 26, 24 12:06 PM

    1st Grade Word Problems on Subtraction
    In 1st grade word problems on subtraction students can practice the questions on word problems based on subtraction. This exercise sheet on subtraction can be practiced by the students to get more ide…

    Read More

  4. Subtracting 1-Digit Number | Subtract or Minus Two One-Digit Number

    Apr 26, 24 11:21 AM

    Cross Out 6 Objects
    In subtracting 1-digit number we will subtract or minus one-digit number from one-digit number or one-digit number from 2-digit number and find the difference between them. We know that subtraction me…

    Read More

  5. Perimeter of a Square | How to Find the Perimeter of Square? |Examples

    Apr 25, 24 05:34 PM

    Perimeter of a Square
    We will discuss here how to find the perimeter of a square. Perimeter of a square is the total length (distance) of the boundary of a square. We know that all the sides of a square are equal. Perimete…

    Read More