
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 the sets $A=\{X| \frac{1}{32} \leqslant 2^{x}\leqslant 4\}$ and $B=\{x|x^{2}-3mx+2m^2-m-1 < 0\}$,

(1) Find the number of non-empty proper subsets of $A$ when $x\in \mathbb{Z}$;

(2) Find the range of real number values for $m$ if $A \supseteq B$.

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