In the universal set U, the symmetric difference of sets A and B is the set of elements belonging to either A or B but not both sets at the same time.

### Symbol

The symbol of symmetric difference is “Δ” which is read as “delta” or “symmetric difference”.

Therefore, “A Δ B” is read as “A delta B” or “set A symmetric difference set B”.

### Property

By involving other operations on the sets, we can write:

A Δ B = (A ∪ B) \ (A ∩ B)

or:

A Δ B = (A ∩ B’) ∪ (A’ ∩ B)