Question

A={1,2,3,4} and B={3,4,5,6} Find A∆B

Answer 1

Answer:

{1,2,5}

Step-by-step explanation:

A∆B which is called the symmetric difference between A and B is defined as (A-B)U(B-A).

Now, A-B is the set of all elements which are in A but not in B. So, A - B = {1,2}.

Similarly, B-A is the set of all elements which are in B but not in A. So, B - A = {5}.

Hence A ∆ B = (A-B)U(B-A) = {1,2,5}

Answer 2

Step-by-step explanation:

(A-B) U (B-A)

=[{1,2,3,4}-{3,4,5,6}]U[{3,4,5,6}-{1,2,3,4}]

={1,2}U{5,6}

={1,2,5,6}