
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 $A = \{x | -1 \leq x \leq 4 \}$, $B = \{x | m - 1 < x < 3m + 1 \}$,  
(1) When $x \in \mathbb{N}^*$, find the number of subsets of $A$.  
(2) When $x \in \mathbb{R}$ and $A \cap B = B$, find the range of values for $m$.

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