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

RSS

  1. 5th Grade Factors and Multiples | Definitions | Solved Examples | Math

    Mar 23, 25 02:39 PM

    Prime Factor of 312
    Here we will discuss how factors and multiples are related to each other in math. A factor of a number is a divisor which divides the dividend exactly. A factor of a number which is a prime number is…

    Read More

  2. Adding 2-Digit Numbers | Add Two Two-Digit Numbers without Carrying

    Mar 23, 25 12:43 PM

    Adding 2-Digit Numbers Using an Abacus
    Here we will learn adding 2-digit numbers without regrouping and start working with easy numbers to get acquainted with the addition of two numbers.

    Read More

  3. Worksheet on 12 Times Table | Printable Multiplication Table | Video

    Mar 23, 25 10:28 AM

    worksheet on multiplication of 12 times table
    Worksheet on 12 times table can be printed out. Homeschoolers can also use these multiplication table sheets to practice at home.

    Read More

  4. Vertical Subtraction | Examples | Word Problems| Video |Column Method

    Mar 22, 25 05:20 PM

    Vertical Subtraction
    Vertical subtraction of 1-digit number are done by arranging the numbers column wise i.e., one number under the other number. How to subtract 1-digit number vertically?

    Read More

  5. Worksheet on 11 Times Table | Printable Multiplication Table | Video

    Mar 22, 25 05:08 PM

    worksheet on multiplication of 11 times table
    Worksheet on 11 times table can be printed out. Homeschoolers can also use these multiplication table sheets to practice at home.

    Read More