
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Let set $A = \{x \in \mathbb{Z} | -6 \leq x \leq 6\}$, $B = \{x | 2 < 2^x \leq 16\}$, $C = \{x | x > a\}$  
(1) Find $A \cap B$;  
(2) If set $M = A \cap B$, find the number of subsets of $M$ and list all subsets of $M$;  
(3) If $B \cap C = \emptyset$, find the range of values for $a$.

Present the answer in LaTex format: \boxed{Your answer}
user