
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 $p$: $(x+1)(x-5)\leqslant 0$, and $q$: $1-m\leqslant x\leqslant 1+m (m > 0)$.
(1) If $p$ is a sufficient condition for $q$, find the range of values for the real number $m$;
(2) If $m=5$, and the proposition "$p$ or $q$" is true, while "$p$ and $q$" is false, find the range of values for the real number $x$.

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