
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 $p$: $|3x-4|>2$, $q$: $\frac{1}{x^2-x-2}>0$, $r$: $(x-a)(x-a-1)<0$,  
(1) What condition is $\neg p$ to $\neg q$?  
(2) If $\neg r$ is a necessary but not sufficient condition for $\neg p$, find the range of the real number $a$.

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