
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 set $A = \{ x \mid \frac{x+3}{x-4} < 0 \}$, the solution set to the inequality $|x| < 2$ is denoted as $B$.
1. Find $A \cap \complement_{\mathbb{R}} B$;
2. Let $P = \{ x \mid x \in A \cap \complement_{\mathbb{R}} B, x \in \mathbb{Z} \}$ and $Q = \{ x \mid m-1 \leq x \leq m+1 \}$. If there are only two elements in $P$ that belong to $Q$, determine the range of $m$.

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