Conventions in Set o Sets are usually denoted by capital letters A , B , C , X , Y , Z , etc . o The elements of a set are represented by small letters a , b , c , d etc . o
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If a is an element of a set A , we say that “ a belongs to A ” the Greek symbol ∈ ( epsilon ) is used to denote the phrase ‘ belongs to ’. Thus , we write a ∈
If ‘ b ’ is not an element of a set A , we write b ∉ A and read “ b does not belong to A ”.
o Objects , elements and members of a set are synonymous terms .
Examples : If V is set of vowels , a & b are alphabets , then a ∈ V but b ∉ V . P is set of prime factors of 30 , then 3 ∈ P but 15 ∉ P .
There are two Methods of representing Set o Roster or tabular form . o Set-builder form .
Roster or Tabular Form In roster form , all the elements of a set are listed , the elements are being separated by commas and are enclosed within braces { }
E . g . the set of all number in a dice is described in roster form as { 1,2,3,4,5,6 }.
Points to be noted in roster form :
o In roster form , the order in which the elements are listed is immaterial . g . The set of all vowels in the English alphabet can be written as { a , e , i , o , u } or { a , u , i , o , e } or { u , e , i , o , a } or { o , e , i , a , u }