
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
Let set $A=\{x|-2\leqslant x\leqslant 5\}$, and set $B=\{x|m+1\leqslant x\leqslant 2m-1\}$.
- (I) If $B\subseteq A$, find the range of the real number $m$.
- (II) When $x\in \mathbb{R}$, there is no element $x$ such that $x\in A$ and $x\in B$ hold at the same time, find the range of the real number $m$.

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