The problem asks to shade the region corresponding to $(A' \cup B) \cap C'$ on the Venn diagram. Here's how to interpret and approach it:

1. $A'$ represents everything outside set $A$.
2. $B$ represents everything inside set $B$.
3. $A' \cup B$ means everything outside $A$ or everything inside $B$. This includes all regions in $B$ and the areas outside $A$.
4. $C'$ represents everything outside set $C$.
5. $(A' \cup B) \cap C'$ means the region that is both in $(A' \cup B)$ and outside of $C$. So, you need to find the overlap between the two conditions.

Steps to Shade the Diagram:

• First, identify the region for $A' \cup B$, which includes all of $B$ and areas outside $A$.
• Next, identify the region for $C'$, which is outside of $C$.
• The final shading should cover the parts of $A' \cup B$ that are also in $C'$, i.e., the parts of $B$ and outside $A$ that are not within $C$.

You can now shade the region where these two sets overlap on the Venn diagram.

Do you want a more detailed explanation or further help with shading?

Here are 5 related questions to explore:

1. How do we interpret the complement of a set in Venn diagrams?
2. What does the union of two sets represent in set theory?
3. How do intersection and union operations differ visually on a Venn diagram?
4. Can the same process apply to more than three sets in a Venn diagram?
5. How would the result change if the intersection were between $A \cup B$ and $C$, instead of using complements?

Tip: When working with Venn diagrams, always break down the logical operations step-by-step to ensure accuracy in shading the required regions.