Answer
(A∪C)' = {} = ∅
Work Step by Step
U = {1,2,3,4,5,6,7}
A = { 1,3,5,7}
C = {2,3,4,5,6}
A∪C represents all the elements of A and the elements of C that are not present in A.
Therefore the elements of A∪C are {1,2,3,4,5,6,7}.
(A∪C) = {1,2,3,4,5,6,7}
The set (A∪C)' represents the elements of 'U' that are not present A∪C
Because the elements of A∪C i.e. 1,2,3,4,5,6,7 that is not present in (A∪C)' = {} = ∅