
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 $A=\{x||3x-4| > 2\}$, $B=\{x| \frac{1}{x^{2}-x-2} > 0\}$, $C=\{x|(x-a)(x-a-1)\geqslant 0\}$, $p$: $x∈∁\_RA$, $q$: $x∈∁\_RB$, $r$: $x∈C$.
(1) What is the condition of $p$ for $q$?
(2) If $r$ 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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