
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
The set $A=\{x \mid x^2-3x-10 \leq 0\}$, and the set $B=\{x \mid m+1 \leq x \leq 2m-1\}$.
(1) If $B \subseteq A$, find the range of the real number $m$.
(2) When $x \in \mathbb{R}$, find the range of the real number $m$ for which there are no elements $x$ such that both $x \in A$ and $x \in B$ hold true.

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