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# set

3 Reviews

Class type: Online

Class type: Online

Class Scheduled at

Fri, 08 July 2022

09:00am - 10:00am hour

₹ Free

Experienced and certified teacher from university

3 Reviews

Set is a collection of well-defined objects which are distinct from each other. Sets are usually denoted by capital letters A, B, C, and elements are usually denoted by small letters a, b,c. If ‘a’ is an element of a set A, then we write an ∈ A and say ‘a’ belongs to A or ‘a’ is in A or ‘a’ is a member of A. If ‘a’ does not belong to A, we write an ∉ A. Standard Notations  N: A set of natural numbers.  W: A set of whole numbers.  Z: A set of integers.  Z + /Z- : A set of all positive/negative integers.  Q: A set of all rational numbers.  Q + /Q- : A set of all positive/ negative rational numbers.  R: A set of real numbers.  R + /R- : A set of all positive/negative real numbers.  C: A set of all complex numbers. Methods for Describing a Set (i) Roster/Listing Method/Tabular Form In this method, a set is described by the listing elements, separated by commas, within braces. e.g., A = {a, e, i, o, u} (ii) Set Builder/Rule Method In this method, we write down a property or rule which gives us all the elements of the set by that rule. e.g.,A = {x : x is a vowel of English alphabets} Types of Sets 1. Finite Set A set containing a finite number of elements or no element. 2. Cardinal Number of a Finite Set The number of elements in a given finite set is called a cardinal number of a finite sets, denoted by n (A). 3. Infinite Set A set containing an infinite number of elements. 4. Empty/Null/Void Set A set containing no element, it is denoted by (φ) or { }. 5. Singleton Set A set containing a single element. 6. Equal Sets Two sets A and B are said to be equal if every element of A is a member of B and every element of B is a member of A.

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4.78 Avg Rating

37 Reviews

275 Students

17 Courses

Amit Jha

NONE

18 Years of Experience

Class 12 Tuition

5.0

Average Rating

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## Reviews

R

Rudra

20/12/2021

I am understanding all the topics perfectly. I like the way and the techniques used to explain the topics.

M

Mahesh Morey

30/04/2021

P

Piyush Sharma

While studying there's a bond where I can study without any pressure which could make you feel bad and stuff but that doesn't happen with amit sir, that's good. And sir also has a very good sense of humour.

## Discussions

### Amit Jha

Experienced and certified teacher from university

No Reviews Yet

Class Scheduled at

Fri, 08 July 2022

09:00am - 10:00am hour

₹ Free

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