
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 \\(p\\): \\(x \in \{x | \frac{x+2}{x-10} \leqslant 0\}\\), \\(q\\): \\(x \in \{x | x^2 - 2x + 1 - m^2 < 0, m > 0\}\\), if \\(p\\) is a necessary but not sufficient condition for \\(q\\), find the range of the real number \\(m\\).

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