
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 the universal set $U=\mathbb{R}$, and let the sets $M$ and $N$ be defined as $M=\{x \mid -2\leq x\leq 2\}$ and $N=\{x \mid y= \sqrt{1-x}\}$, respectively. Find $M\cap N$ and the complement of $N$ in $U$, denoted $C_U N$.

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