To solve this, we need to compute the intersection of sets $A$ and $B$, denoted as $A \cap B$, within the universal set $U$.

Here are the provided sets:

• $U = \{0, 1, 2, 3, 4, 5, 6, 7, 8, 9\}$
• $A = \{2, 4, 6, 8\}$
• $B = \{2, 3, 4, 5\}$

Steps:

1. Intersection Calculation: The intersection of $A$ and $B$, $A \cap B$, contains only elements present in both $A$ and $B$.

   • Elements in $A$: $2, 4, 6, 8$
   • Elements in $B$: $2, 3, 4, 5$

   Common elements are $2$ and $4$.

   $A \cap B = \{2, 4\}$

2. Ensure Result is in Universal Set $U$: Since all elements of $U$ are $\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9\}$, the elements $2$ and $4$ are valid.

3. Final Answer: Arrange the numbers in ascending order, without spaces or commas: $\text{Answer: } 24$

Would you like more details or clarifications?

Related Questions:

1. What is the union of sets $A$ and $B$?
2. How do we calculate $A \cap C$?
3. Can you explain the properties of set intersection with examples?
4. What is the complement of $A \cap B$ in $U$?
5. How would the result change if $B = \{4, 6, 8\}$?

Tip:

When performing set operations, always double-check the results to ensure they align with the universal set, if given.