
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
Proposition $p$: $A=\{x||x-a|\leqslant 4\}$, Proposition $q$: $B=\{x|(x-2)(x-3)\leqslant 0\}$
1. If $A\cap B=\varnothing$, find the range of values for the real number $a$.
2. If $q$ is a necessary but not sufficient condition for $p$, find the range of values for the real number $a$.

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