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Set Membership

As defined earlier, a set is a collection or group of objects. These objects are called members of the Set.

This relationship is represented by using the symbol .

The symbol ‘∈’ means “is a member of ” or “belongs to” or “is an element of”.

The reverse of this relationship is denoted using the symbol ‘ ‘. ∋ means “contains as a member“.

If V represents the collection of all vowels in the English language, then ‘a’, ‘e’, ‘I’, ‘o’, ‘u’ are all members of this set.

We can, hence, write,

‘a’ ∈ V

‘e’ ∈ V

‘i’ ∈ V

‘o’ ∈ V

‘u’ ∈ V

We can also write V ∋ ‘u’

Similarly,  and  are used to denote the negation of the membership.

 means “is not a member of “
 means “does not contain

So, for the above example, we can write,

‘b’ ∉ V ( b does not belong to V )
V ∌ ‘m’ ( V does not contain ‘m’ )

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