
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 the set $A=\{x\ |\ -1 \leq x \leq 6\}$ and $B=\{x\ |\ m-1 \leq x \leq 2m+1\}$. Given that $B \subseteq A$,

(1) Find the range of real numbers $m$.
(2) When $x \in \mathbb{N}$ (natural numbers), find the number of subsets of the set $A$.

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