Conventions in Set
- Sets are usually denoted by capital letters A, B, C, X, Y, Z, etc.
- The elements of a set are represented by small letters a, b, c ,d etc.
- 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”.
- Objects, elements and members of a set are synonymous terms.
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
- Roster or tabular form.
- Set-builder form.