- #1
SpaceDomain
- 58
- 0
Hello.
We all know that DeMorgan's Law is as follows:
(A∪B)' = A'∩B'
and
(A∩B)' = A'∪B'
where ' refers to the complement of a set and A and B are both sets.
We also know that this can be extended to more than two terms.
My question is whether or not the following is true:
(A∩B∪C)' = A'∪B'∩C'
Here is my logic:
(A∩B∪C)' = ((A∩B)∪C)' = (A∩B)'∩C' = A'∪B'∩C'
We all know that DeMorgan's Law is as follows:
(A∪B)' = A'∩B'
and
(A∩B)' = A'∪B'
where ' refers to the complement of a set and A and B are both sets.
We also know that this can be extended to more than two terms.
My question is whether or not the following is true:
(A∩B∪C)' = A'∪B'∩C'
Here is my logic:
(A∩B∪C)' = ((A∩B)∪C)' = (A∩B)'∩C' = A'∪B'∩C'