
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
Consider propositions $p$ and $q$, where $p: A=\{x \mid |x-a| \leq 4\}$ and $q: B=\{x \mid (x-2)(x-3) \leq 0\}$.
1. If $A \cap B = \emptyset$, determine the range of values for the real number $a$.
2. If $q$ is a sufficient but not necessary condition for $p$, determine the range of values for the real number $a$.

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