
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 $U=\mathbb{R}$, $A=\{x \mid -2 < x < 2\}$, $B=\{x \mid x < -1 \text{ or } x > 4\}$,
(1) Find $A \cap B$.
(2) Find $\complement_U B$.
(3) Find $A \cup \complement_U B$.

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