
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 $p$: $(x+2)(x-4)\leq 0$, and $q$: $2-m\leq x\leq 2+m$.  
(1) If the negation of $q$, $\neg q$, is a sufficient but not necessary condition for the negation of $p$, $\neg p$, find the range of values for the real number $m$.  
(2) If $m=5$, the proposition "$p \lor q$" is true and "$p \land q$" 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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