
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
(10 points) Given the set $U = \{x | -3 \leq x \leq 3\}$, $M = \{x | -1 < x < 1\}$, and $C_U N = \{x | 0 < x < 2\}$, find the set $N$, $M \cap (C_U N)$, and $M \cup N$.

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