Exercise 3

Let $A = \{1, 2, 3, 4, 5, 6\}$, $B = \{2, 4, 6\}$, $C = \{1, 2, 3\}$ and $D = \{7, 8, 9\}$. If the universe is $U = \{1, 2, \ldots, 10\}$, find:

1. $A \cup B$.
2. $A \cap B$.
3. $B \cap C$.
4. $A \cap D$.
5. $\bar{B \cup C}$.
6. $A \setminus B$.
7. $(D \cap \bar C) \cup \bar{A \cap B}$.
8. $\emptyset \cup C$.
9. $\emptyset \cap C$.