A Venn diagram that represents two sets $A'$ (the complement of set $A$) and $B$ would look like this:

• Set $A'$: Represents everything outside of set $A$. In a Venn diagram, this would be the area outside of circle $A$, covering everything in the universal set except for the elements in $A$.

• Set $B$: Represents all the elements in set $B$. This would be the area inside circle $B$ in the Venn diagram.

When we combine these two sets as $A' \cap B$, we are looking at the region where set $B$ intersects with the complement of set $A$. This is the part of set $B$ that does not overlap with set $A$.

Visual Breakdown:

1. Circle $A$: Contains the elements of $A$.
2. Circle $B$: Contains the elements of $B$.
3. $A'$: This represents everything outside of circle $A$.
4. $A' \cap B$: This is the region inside circle $B$, but outside circle $A$.

In summary, the Venn diagram for $A' \cap B$ shows the area of $B$ that doesn't overlap with $A$.

Would you like to see a diagram of this, or do you have more specific questions? Here are some related questions to explore further:

1. What does $A \cap B$ represent in a Venn diagram?
2. How would you represent $A \cup B$ in a Venn diagram?
3. What does $A' \cup B$ look like in a Venn diagram?
4. How do you calculate the probability of $A' \cap B$?
5. How do Venn diagrams help with set operations?

Tip: Remember, the complement of a set $A'$ includes everything that is not in $A$, so it always covers the universal set minus $A$.