PROVE THAT
A'-B' = A U B'
Answers
Answered by
1
Answer:
it's proved..........
Attachments:
Answered by
2
Answer:
Step-by-step explanation:
Our aim is to prove the provided proposition.
Lets consider E to be the whole universe, and A and B belonging to E.
Hence, we can write A' as E\A, i.e, A complement.
Similarly, we have that B' is the same as E\B.
Thus,
A' - B' = E\A - E\B
A' - B' = A\B'
A' - B' = A - A∩B'
A' - B' = A∪B' q.e.d
Since we wanted to prove that A'-B' = A U B', it is shown mathematically that it is affirmative.
Hence, proved.
Similar questions