InterviewSolution
Saved Bookmarks
| 1. |
Let A, B and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C . Show, that B = C. |
|
Answer» Given A∪B=A∪C ⇒(A∪B)∩C = (A∪C)∩C ⇒(A∩C)∪(B∩C) = C ⇒(A∩B)∪(B∩C) = C ∵ A∩B = A∩C Now, A∪B = A∪C ⇒ (A∪B)∩B = (A∪C)∩B ⇒ (A∩B)u(B∩B) = (A∩B)∪(C∩B) ⇒ B = (A∩B)∪(B∩C) B = C |
|