
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 $p: x^2 - 4x - 5 \leqslant 0$, $q: x^2 - 2x + 1 - m^2 \leqslant 0 \ (m > 0)$.

(1) If $p$ is a sufficient condition for $q$, find the range of the real number $m$.

(2) If $m = 5$, the proposition "$p \land q$" is true, and "$p \land q$" is false, find the range of the real number $x$.

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