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}


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