Question:
Find the symmetric difference A Δ B, when A = {1, 2, 3} and B = {3, 4, 5}.
Solution:
A = {1, 2, 3}
B = {3, 4, 5}
The symmetric difference A Δ B is given by
$A \Delta B=(A-B) \cup_{(B-A)}$
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}