We are given three sets in the problem:

• $U = \{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 \}$ (the universal set),
• $A = \{ 2, 3, 4, 6 \}$,
• $B = \{ 2, 3, 5 \}$.

The task is to find $A \cap B$, which is the intersection of sets $A$ and $B$. The intersection contains the elements that are common to both sets $A$ and $B$.

Steps:

• $A = \{ 2, 3, 4, 6 \}$,
• $B = \{ 2, 3, 5 \}$.

The common elements between $A$ and $B$ are $2$ and $3$.

Thus, $A \cap B = \{ 2, 3 \}$.

Answer:

$A \cap B = \{ 2, 3 \}$

Would you like further details or any explanations on this?

Here are 5 questions related to set theory for further exploration:

1. What is the union of sets $A$ and $B$?
2. What elements are in $A$ but not in $B$ (i.e., $A - B$)?
3. What is the complement of set $A$ with respect to the universal set $U$?
4. How would you represent the union of three sets, say $A$, $B$, and another set $C$?
5. What is the difference between a set intersection and a set union?

Tip: The intersection of two sets always includes elements that both sets have in common. If no elements are shared, the intersection is the empty set $\emptyset$.