let U={1,2,3,4,5,6,7}, A={1,2,3,4}, B={1,2,5,6}, and C={3,5,7}. list all the members of the given set, complement (A u B) upside down u C
The given set is: U = {1, 2, 3, 4, 5, 6, 7}
Complement of (A ∪ B) is (A ∪ B)'.
A ∪ B = {1, 2, 3, 4, 5, 6}
(A ∪ B)' = U \ (A ∪ B) (taking the complement in U)
= {7} (since the elements that are not in (A ∪ B) are only 7 from U)
The upside-down U (intersection) of (A ∪ B)' and C is (A ∪ B)' ∩ C.
(A ∪ B)' ∩ C = {7} ∩ {3, 5, 7}
= {7} (as the only common element between {7} and {3, 5, 7} is 7)
Therefore, the members of the given set (complement (A ∪ B) upside-down U C) are {7}.