LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

CONCEPT OF SETS

**SETS**

**It has been said that, A set is a collection of, well-defined distinct objects.
The object of a set are called members or elements of the set. We call a set a
“well-defined collection of objects” because we can decide ( with absolute
certainty ) whether a given project is a member of the set.**

**Types of Set –**

**a) The set of all integers**

**b) The set of vowels of the English alphabet**

**c) The set of
rivers/cities/fruits/district of any countries or world**

**d) The set of students of class six of your school/college.**

**we usually denote a set by a capital letter of the English
alphabet, such as A, B, C, X, Y, Z and its elements are written by small
letters of English alphabet, such as a, b, c, x, y, & z.**

**If A is an element of set X, we write a ∈ X and
we have to read as ‘a’ belongs to the set ‘X’. but If a is not an element of the sets ‘X’, then we should write as a ∉ X and should read as ‘a' is not belongs to set
X ’**** **

__There are some special form of Sets are given below__ -

**1) Rule Method or Set Builder Form**

**2) Roster Method or Tabular Form**

**3) Finite Set**

**4) Infinite Set**

**5) Empty Set**

**6) Universal Set**

**7) Singleton Set**

**8) Equivalent Set**

**9) SubSet **

**10) Super Set**

**Some Special Sets –**

**
1) N = { 1, 2, 3, 4, ……… } (Set of Natural Numbers)**

**
2) W = { 0, 1, 2, 3,………. } (Set
of whole numbers)**

**
3) Z = {………, -3, -2, -1, 0, 1,
2, 3,………} (Set of Integers), This is
also denoted as ‘I’**