subset & superset 

In mathematics, especially in set theory, a set A is a subset of a set B, or equivalently B is a superset of A, if A is “contained” inside B, that is, all elements of A are also elements of BA and B may coincide. The relationship of one set being a subset of another is called inclusion or sometimes containment.


If A and B are sets and every element of A is also an element of B, then:

  • A is a subset of (or is included in) B, denoted by {\displaystyle A\subseteq B}A\subseteq B,
or equivalently

  • B is a superset of (or includes) A, denoted by {\displaystyle B\supseteq A.}B\supseteq A.





Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )


Connecting to %s