
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 set $A=\{x|(x+1)(x-5) \leq 0\}$, and set $B=\{x|1-m \leq x \leq 1+m, m>0\}$.
(1) If $A \subseteq B$, find the range of values for the real number $m$;
(2) If the intersection of set $A$ and $B$ contains exactly 3 integers, find the range of values for the real number $m$.

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