Mathematics

Venn Diagrams

Venn Diagrams Venn Diagrams:- Earlier we have discussed twomethods to represent a set (i) Roster form and (ii) Set Builder form. The third method to represent a set is by diagrams or pictures called Venn-diagram (also called Venn-Euler diagrams) In this method universal set is represented by a rectangle and other sets are represented bycircles […]

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Subsets and Supersets

Subsets:- Consider a set ‘A’ of all the boys in classeleventh and set ‘B’ of all the students ( Boys + Girls) in class eleventh. Itis clear that all the members of set ‘A’ are also members of set ‘B’ then wecan say that set ‘A’ is subset of set ‘B’ or set ‘A’ is

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Types of Sets

1.       Empty  set :- A set having no element is called empty set . It is denoted by φ(Phi) or { } e.g. A set of all students of eleventh class in a high school is an empty set because no student of a high school is in class eleventh we can write it as

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Sets

Set:-  A set is a well defined collection of distnict objects.         Here it is important to understand the meaning of term ‘well defined’. Let us take an example to understand it . Suppose there are 30 students in class eleventh, I asks you to make list boys then you can easily do it, if same task is

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