CBSE Class 11 Maths Notes: Sets – Representation of Set

SET

A set is a well-defined collection of distinct objects. Well-defined collection means that there exists a rule with the help of which it is possible to tell whether a given object belongs or does not belong to given collection. Generally sets are denoted by capital letters A, B, C, X, Y, Z etc.

REPRESENTATION OF A SET

Usually, sets are represented in the following ways:

ROASTERFORMOR TABULARFORM

In this form, we list all the member of the set within braces ≤  curly brackets) and separate these by commas. For example, the set of all even numbers less than 10 and greater than 0 in the roster form is written as: A = {2,4, 6,8}

SET BUILDERFORMOR RULEFORM

In this form, we write a variable ≤ say x) representing any member of the set followed by a property satisfied by each member of the set.A = {x| x £ 5, x ∈ N} the symbol ‘|’ stands for the words” such that”.

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