(A-B) U (B-A) U (A∩B) equals to - VIRTUALGATE-17

(A-B) U (B-A) U (A∩B) equals to:

(A)   A^c U B^c
(B)   A^c ∩ B^c
(C)   A ∩ B
(D)   ((A U B)c)c

Drawing a Venn Diagram for (A-B) U (B-A) U (A∩B):

We can clearly see that it is the whole area of A and B ie., A ∪ B

here in the given options ((A U B)c)c is nothing but A ∪ B. Hence correct answer is option (D)

Video Explanation: http://www.techtud.com/video-illustration/b-u-b-u-a%E2%88%A9b-equals-ac-...

2Comments
Ankit Kumar @ankitk074 13 Jan 2018 04:19 pm

what is c here

 

Sumit Verma @sumitverma 13 Jan 2018 09:02 pm

c stands for Complement here.