
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 two sets $A=\{x \mid m+1 \leq x \leq 2m-1\}$ and $B=\{x \mid x < -2 \text{ or } x > 5\}$  
(1) If $A \subseteq B$, find the set of all possible values for the real number $m$.  
(2) If $A \cap B = \emptyset$, find the set of all possible values for the real number $m$.

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