
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 inequality about $x$, $\frac{x-m+1}{x-m-1} < 0$, the solution set is $A$, and set $B={x|3-n < x < 4-n}$, the necessary and sufficient condition for $A∩B≠∅$ is _______.

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