
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 sets $U = \{x \mid -3 \leq x \leq 3\}$, $M = \{x \mid -1 < x < 1\}$, and the complement of $N$ in $U$ denoted by $\complement_U N=\{x \mid 0 < x < 2\}$, find $M \cap N$.

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