Find the symmetric difference A Δ B, when A = {1, 2, 3} and B = {3, 4, 5}.

A = {1, 2, 3}

B = {3, 4, 5}

The symmetric difference A Δ B is given by

A Δ B = (A – B) (B – A)

Venn diagram representation:

Representing the given sets A and B through venn diagram

Hence as seen the elements in A Δ B are 1, 2, 4 and 5

Hence the symmetric difference A Δ B = {1, 2, 4, 5}