
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 $m>0$, let $p$ be the statement $(x+2)(x-6)\leq0$, and $q$ be the statement $2-m\leq x \leq 2+m$.

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

(II) If $m=5$, and the statement "p or q" is true, while the statement "p and q" is false, find the range of the real number $x$.

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