
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 proposition p: $$\begin{cases} \left.\begin{matrix}x+2≥0 \\ x-10≤0\end{matrix}\right.\end{cases}$$ and proposition q: $1-m≤x≤1+m$, where $m＞0$. If proposition p is a necessary but not sufficient condition for proposition q, find the range of the real number $m$.

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