
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 set $A = \{x \mid |x-m| > 3\}$, and set $B = \{x \mid |x-1| < 2\}$.
1. If $A \cap B = \emptyset$, find the range of $m$.
2. Let proposition $p$: $x \in A$, and proposition $q$: $x \in B$. If "p or q" is true, and "p and q" is false, find the range of $m$.

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