
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 $A=\{x||3x-4|>2\}$, $B=\{x|x^2-x-2>0\}$, $C=\{x|(x-a)(x-a-1)\geqslant 0\}$, let $p$: $x\in{C}_RA$, $q$: $x\in{C}_RB$, $r$: $x\in C$.

(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}
user