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.



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

    Oct 22, 24 03:26 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

  2. Word Problems on Multiplication |Multiplication Word Problem Worksheet

    Oct 22, 24 01:23 AM

    Multiplication Word Problem
    Word problems on multiplication for fourth grade students are solved here step by step. Problem Sums Involving Multiplication: 1. 24 folders each has 56 sheets of paper inside them. How many sheets of…

    Read More

  3. Worksheet on Word Problems on Multiplication | Multiplication Problems

    Oct 22, 24 12:31 AM

    In worksheet on word problems on multiplication, all grade students can practice the questions on word problems involving multiplication. This exercise sheet on word problems on multiplication

    Read More

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

    Oct 21, 24 03:38 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

  5. Multiplication Table of 4 |Read and Write the Table of 4|4 Times Table

    Oct 21, 24 02:26 AM

    Multiplication Table of Four
    Repeated addition by 4’s means the multiplication table of 4. (i) When 5 candle-stands having four candles each. By repeated addition we can show 4 + 4 + 4 + 4 + 4 = 20 Then, four 5 times

    Read More