
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 set $A=\{x| -1\leqslant x\leqslant 4\}$, set $B=\{x| 2m \lt x \lt m+1\}$, and $\forall x\in A$, $x\notin B$ is a true proposition, then the range of real number $m$ is ______.

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