In set theory, the intersection of two sets A {\displaystyle A} and B , {\displaystyle B,} denoted by A ∩ B , {\displaystyle A\cap B,} is the set containing all elements of A {\displaystyle A} that also belong to B {\displaystyle B} or equivalently, all elements of B {\displaystyle B} that also belong to A . {\displaystyle A.}