
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 the universal set $U=\mathbb{R}$, $A=\{x\mid \frac{1}{|x-1|} < 1\}$, and $B=\{x\mid x^{2}-5x+4 > 0\}$, find $A\cap(\neg_U B)$.

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