Let's break down the question to find the required sets and solve the problem.

Given:

• $A = \{x \mid 2 < x \leq 10, x \in \text{bilangan asli} \}$

  • $A$ contains natural numbers greater than 2 and less than or equal to 10.
  • So, $A = \{3, 4, 5, 6, 7, 8, 9, 10\}$.

• $B = \{x \mid x \leq 10, x \in \text{bilangan genap} \}$

  • $B$ contains even numbers less than or equal to 10.
  • So, $B = \{2, 4, 6, 8, 10\}$.

• $C = \{x \mid 2 \leq x \leq 15, x \in \text{bilangan prima} \}$

  • $C$ contains prime numbers between 2 and 15.
  • So, $C = \{2, 3, 5, 7, 11, 13\}$.

Now, let's solve the sub-questions:

a. Members of $A$, $B$, and $C$

• We already determined:
  • $A = \{3, 4, 5, 6, 7, 8, 9, 10\}$
  • $B = \{2, 4, 6, 8, 10\}$
  • $C = \{2, 3, 5, 7, 11, 13\}$

b. $A \cup B$ and $n(A \cup B)$

• $A \cup B$ is the union of sets $A$ and $B$.
  • $A \cup B = \{2, 3, 4, 5, 6, 7, 8, 9, 10\}$
  • $n(A \cup B) = 9$ (the number of elements in $A \cup B$).

c. $A \cup C$ and $n(A \cup C)$

• $A \cup C$ is the union of sets $A$ and $C$.
  • $A \cup C = \{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13\}$
  • $n(A \cup C) = 11$ (the number of elements in $A \cup C$).

d. $B \cup C$ and $n(B \cup C)$

• $B \cup C$ is the union of sets $B$ and $C$.
  • $B \cup C = \{2, 3, 4, 5, 6, 7, 8, 10, 11, 13\}$
  • $n(B \cup C) = 10$ (the number of elements in $B \cup C$).

e. $A \cup B \cup C$ and $n(A \cup B \cup C)$

• $A \cup B \cup C$ is the union of sets $A$, $B$, and $C$.
  • $A \cup B \cup C = \{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13\}$
  • $n(A \cup B \cup C) = 11$ (the number of elements in $A \cup B \cup C$).

Would you like further details or explanations on any part of this solution?

Here are 5 related questions to deepen your understanding:

1. How would the solution change if $B$ included all odd numbers instead of even?
2. What is the intersection of sets $A \cap C$?
3. Can you find $A \setminus C$? What does this set represent?
4. How would you represent the union and intersection of more than three sets?
5. What if the upper limit of set $C$ were changed to 20? How would that affect $A \cup C$?

Tip: Understanding set operations like union, intersection, and difference is key when solving problems involving multiple sets.