How do i find the compliment of (A union B)?

The complement of A ∪ B is the set of all elements not in A ∪ B.

If x is some element of A ∪ B, then x is either in A or B (or both).

So if x is some element of the complement of A ∪ B, that means x does not belong to A or B. In other words, x is not in A and x is not in B.

So (A ∪ B)' = A' ∩ B', where the ' symbol denotes set complement.

For example, if A = {1, 2, 3, 4} and B = {3, 4, 5, 6} are both subsets of U = {0, 1, 2, 3, 4, 5, 6, 7}, then

A ∪ B = {1, 2, 3, 4, 5, 6}

→   (A ∪ B)' = {0, 7}

Put another way,

A' = {0, 5, 6, 7}

B' = {0, 1, 2, 7}

→   A' ∩ B' = {0, 7}

and we see that both (A ∪ B)' and A' ∩ B' are the same set.

step-by-step explanation:

i believe its "c" because all of the other options include a but it could be d because there is a way of financing with cash at certain places but its uncommon.