Question

PROVE THAT
A'-B' = A U B'

Answer 1

Answer:

it's proved..........

Answer 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.