Question

Prove. If A ∩B =Ф, then A∪B = (A-B) ∪(B-A)

Answer 1

Answer:

Since we can write A-B = A ∩ B’

So. A = (A − B) ∪ (A ∩ B)

A = (A ∩ B’) ∪ (A ∩ B)

A = A ∩ (B∪B’)

A =A ∩ U

A= A

Hence Proved