The collection of well-defined distinct objects is known as a set. The word well-defined refers to a specific property which makes it easy to identify whether the given object belongs to the set or not. The word ‘distinct’ means that the objects of a set must be all different. Sets are denoted by Capital l letters

Examples:

A = {Color of rainbow] Þ express set of the Color of rainbow

A = [1,2,3,……..} Þ Represent the set of natural numbers

B = [a, e, i, o, u] Þ Represent the set of vowels

M = {1/2, 2/3,3/4………….99/100}

Elements of Set:

The different objects that form a set are called the elements of a set. The elements of the set are written in any order under curly bracket. Elements are denoted by small letters.

B = [a, e, i, o, u] Þ Represent the set of vowels

Here element of set B are a, e, i, o, u

Notation of a Set:

Download full study material

__Download__**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