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Set Theory Multiple Choice Quiz

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1. Which of the following is true for any two sets $A$ and $B$?

2. If $A \subseteq B$ and $B \subseteq A$, what can be concluded?

3. What is the cardinality of the set $A = \{x \in \mathbb{Z} | -2 \leq x \leq 2\}$?

4. Which set operation is commutative?

5. A set $A$ contains 5 elements, and set $B$ contains 8 elements. How many elements are in the set $A \cup B$ if $A \cap B$ contains 2 elements?

6. What does the Power Set of a set $A$ represent?

7. Given two sets $A = \{1, 2, 3\}$ and $B = \{2, 3, 4, 5\}$, what is $A \triangle B$?

8. Which of the following sets is a subset of every set?

9. If the Universal Set $U = \{a, b, c, d, e\}$ and Set $A = \{c, d\}$, what is the complement of $A$ in $U$?

10. What is the result of the Cartesian product $A \times B$ given $A = \{1\}$ and $B = \{a, b\}$?