Question

Find the Symmetric different of sets A = {1, 3, 5, 6, 7} and {3, 7, 8, 9}.

Answer 1

Given, Sets are A = {1, 3, 5, 6, 7} and B = {3, 7, 8, 9} 

Now, A – B = {1, 3, 5, 6, 7} – {3, 7, 8, 9} = {1, 5, 6} 

And B – A = {3, 7, 8, 9} – { 1, 3, 5, 6, 7} = {8, 9} 

∴ Required Symmetric difference, 

A ∆ B = (A – B) ∪ (B – A) = {1, 5, 6} ∪ {8,9} = {1, 5, 6, 8, 9}