Question

Show that (A-B) union (B-A) = (A union B)-(A intersection B)

Answer 1

Answer:

Step-by-step explanation:

SUPPOSE :-

Set A = {1,2,3,4}

Set B = { 3,4,5,6}

  (A-B) ∪ (B-A) = (A∪B) - (A∩B)

  (A-B) = {1,2}                     (A∪B) = {1,2,3,4,5,6}

                                           

  (B-A) = {5,6}                     (A∩B) = {3,4}

 (A-B)∪(B-A) = {1,2,5,6}   =  (A∪B) - (A∩B) = {1,2,5,6}