1.5 Exercise 5

Perform the set operations as indicated on the following sets: $U = \left\{0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12\right\}$, $A = \left\{0 , 1 , 2 , 3 , 4 , 5 , 6\right\} ,$ $B = \left\{0 , 2 , 4 , 6 , 8 , 10 , 12\right\} ,$ and $C = \left\{0 , 3 , 6 , 9 , 12\right\} .$

1. Find $\left(A \cap B\right) \cap C .$
2. Find $A \cap \left(B \cup C\right) .$
3. Find $\left(A \cap B\right) \cup C^{'} .$