Question

Given U={15,16,17,18,19,20,21,22,23,24,25,26}, A={18,20,22,24,26} and B={23,24,25,26}, find A' U B'

Answer 1

A' indicates all that is NOT A; and B' indicates all the is NOT B

A' U B' means all the values if the (U)niversal set that are notA OR notB

Answer 2

what's the domain? without a domain, A',U' B' are all elements in the domain not in the set A, U, B respectfully...

Answer 3

U is the domain.

Answer 4

the given U and the symbol "U" can be a bit misleading :)

Answer 5

A' is all the items in U that are not in A.
B' is all the items in U that are not in B.

\(A' \cup B'\) is all the items in A' or B' or both.

Answer 6

if the given U is the domain then
take the elements in U and take out the elements in A for A' and B for B'
since you take U and take all the elements out of U for U' then U' becomes the null or empty set,
A'={15,16,17,19,21,23,25}
B'={15,16,17,18,19,20,21,22)

Answer 7

You can also do this a slightly easier (imo) way..

\[A' \cup B' = \lnot(A \cap B) = \lnot \{23,26\} \]\[= \{15,16,17,18,19,20,21,22,24,25\} \]