1. Prove that $\bar{A} \cup (A \cap B) = \bar{A} \cup B$ using set identities.
2. Prove that $(A - B) - A = \emptyset$ using set identities.
3. Use a Venn Diagram to show that $A \oplus B = (A \cup B) - (A \cap B)$
4. Show in roster notation $A^4$ where $A = \{a, b\}$.
5. Write in string notation, $\{xy: x \in \{0, 1\}^3 \text{ and } y \in \{0, 1\}^1 \cup \{0, 1\}^2\}$
