
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
Consider the sets $A = \{x \mid x^2 - 3x - 10 \leq 0\}$ and $B = \{x \mid m - 1 \leq x \leq 2m + 1\}$.
(1) When $x \in \mathbb{Z}$, find the number of non-empty proper subsets of $A$;
(2) If $A \supseteq B$, determine the range of values for $m$.

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