
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 $p$: $x^{2}-4x-5\leq 0$, and $q$: $x^{2}-2x+1-m^{2}\leq 0$ ($m > 0$).
(1) If $p$ is a sufficient condition for $q$, find the range of the real number $m$.
(2) If $m=5$, and the proposition $p \vee q$ is true while $p \wedge q$ is false, find the range of the real number $x$.

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