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In set theory, the intersection of two sets $ A,B $ is the set of all elements in $ A $ that also belong in $ B $ .

Definition

Given two sets A and B,
$ A\cap B=\{x|x\in A\and x\in B\} $

If the intersection of two sets is empty, then the two sets are disjoint.

Example

Suppose $ A=\{a,b,f,g\} $ and $ B=\{b,c,d,g\} $ .

$ A\cap B=\{b,g\} $

See also

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