
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 $I=\mathbb{R}$, the function $f(x)=\log(3+2x-x^2)$ has a domain of $M$, and $N=\{x\,|\,|x-a|\leq 1, a\in\mathbb{Z}\}$. If $(C_IM) \cap N = \emptyset$, find $M \cap N$.

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