
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 $p: |x-3| \leq 2$, $q: (x-m+1)(x-m-1) \leq 0$, if $\neg p$ is a sufficient but not necessary condition for $\neg q$, find the range of values of the real number $m$.

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