Final answer:
The intersection of sets A and B is {5} and the complement of this intersection is the empty set.
Step-by-step explanation:
The given sets A and B are:
A = { x > 4}
B = { 2 < x < 10}
To find the intersection of A and B, we need to determine the values that are common in both sets. Since A represents all numbers greater than 4 and B represents numbers between 2 and 10 (excluding the endpoints), the only common value is 5. Therefore, A ∩ B = {5}.
The complement of A and B, denoted as (A ∩ B)', represents all outcomes that are not in the intersection of A and B. In this case, there are no numbers outside the intersection, so (A ∩ B)' = {} or the empty set.