Symmetric Difference

The symmetric difference of set A with respect to set B is the set of elements which are in either of the sets A and B, but not in their intersection. This is denoted as \(\text{A△B}\) or \(\text{A⊖B}\) or \(\text{A}{\oplus}{B}.\) Using set notation, we can also denote this as \((A\cup B)-(A\cap B).\) Symmetric difference is also known as disjunctive union.

For example, the symmetric difference of the sets \(\text{{1,2,3}}\) and \(\text{{3,4}}\) is \(\text{{1,2,4}}\).