
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 propositions p: $x^2-8x-20\leq0$, and q: $[x-(1+m)][x-(1-m)]\leq0$ ($m>0$), if p is a sufficient but not necessary condition for q, find the range of the real number $m$.

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