We are tasked with finding the set expression $(C' \cup A) \cap B$, where:

• $C'$ is the complement of set $C$ within the universal set $U$.
• $\cup$ denotes union, and $\cap$ denotes intersection.
• The sets are represented in the Venn diagram, with elements numbered.

Step-by-Step Solution:

1. Find $C'$:

• Set $C$ contains the elements: $\{2, 3, 4, 5\}$.
• $C'$ (the complement of $C$) includes all elements in $U$ that are not in $C$.
• From the Venn diagram, $C' = \{1, 6, 7, 8, 9\}$.

2. Find $C' \cup A$:

• Set $A$ contains the elements: $\{1, 3, 4, 5, 6\}$.
• The union of $C'$ and $A$ includes all elements from both sets: $C' \cup A = \{1, 3, 4, 5, 6, 7, 8, 9\}$

3. Find $(C' \cup A) \cap B$:

• Set $B$ contains the elements: $\{5, 6, 8, 9\}$.
• The intersection includes elements that are both in $C' \cup A$ and $B$: $(C' \cup A) \cap B = \{5, 6, 8, 9\}$

Final Answer:

$(C' \cup A) \cap B = \{5, 6, 8, 9\}$

Would you like more details or have any questions?

Here are 5 related questions you could explore:

1. What is the union of $A$ and $B$?
2. How would the solution change if we were asked to find $(C \cap A') \cup B$?
3. What are the elements of $A' \cap B$?
4. Can you list the elements of $A \cup B \cup C$?
5. What is the complement of $B$?

Tip: When working with Venn diagrams, focus on one operation at a time (union, intersection, complement) to avoid confusion!