The given expression $(A - B)' \cap U$ involves set operations, including the complement and intersection of sets. Let's break it down step by step:

1. Expression Breakdown:

   • $A - B$: This represents the difference between sets $A$ and $B$. It contains all the elements that are in $A$ but not in $B$.
   • $(A - B)'$: This is the complement of the set $A - B$. It includes all elements that are not in $A - B$.
   • $\cap U$: This indicates the intersection with the universal set $U$. The intersection of any set with the universal set $U$ is simply the set itself because $U$ contains all possible elements in the context.

2. Solution:

   • The complement $(A - B)'$ includes all elements not in $A - B$. Therefore, $(A - B)'$ would be the set of elements that are either in $B$ or not in $A$.
   • The intersection of $(A - B)'$ with $U$ is simply $(A - B)'$ itself since the universal set $U$ contains all elements under consideration.

So, $(A - B)' \cap U = (A - B)'$.

Final Answer:

$(A - B)' \cap U = (A - B)'$

Would you like more details or have any questions?

Here are five related questions to explore further:

1. What is the complement of a set with respect to the universal set $U$?
2. How do you calculate the difference between two sets?
3. Can the universal set $U$ ever be empty?
4. How does the intersection of sets differ from the union?
5. What happens if $A$ is a subset of $B$?

Tip: When working with set operations, always consider the universal set $U$ to understand the context of complements and intersections properly.