
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 $A=\{x|-1\leq x+1\leq 6\}$, and $B=\{x|m-1\leq x<2m+1\}$.  
(1) When $x\in \mathbb{Z}$, how many proper subsets does $A$ have?  
(2) If $B\subseteq A$, what is the range of the real number $m$?

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