
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
Given the universal set $U = \mathbb{R}$, $A = \{x | -3 < x \leq 6, x \in \mathbb{R}\}$, $B = \{x | x^2 - 5x - 6 < 0, x \in \mathbb{R}\}$.  
Find:  
(1) $A \cup B$;  
(2) $(\complement_U B) \cap A$.

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