
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 that the solution set of the inequality $|x+2| - |2x-2| > 2$ is $M$.
(Ⅰ) Find the set $M$;
(Ⅱ) Let $t$ be the largest positive integer in the set $M$. Given that $a > 1$, $b > 1$, $c > 1$, and $(a-1)(b-1)(c-1)=t$, find the minimum value of $abc$.

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