A={0,2,4,6}, C={1,3,5,7}
A∩C, means that we need to find the same number in A and C. We can see that there are no the same numbers in set A and set C,
so A∩C=∅, empty set of numbers.
BU(A∩C)
"U" means that set will include all numbers of the set B and set (A∩C). Because A∩C=∅, empty set of numbers, (A∩C) does not have any numbers, so
BU(A∩C) includes only numbers of the set B.
So, BU(A∩C)={1,2,3,4,5}.
Answer is {1,2,3,4,5}.