
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 non-empty sets
$$
\begin{array}{l}
A = \{x \mid m+1 \leqslant x \leqslant 2m-1\}, \\
B = \{x \mid x^2 - 2x - 15 \leqslant 0\},
\end{array}
$$

and \( A \subseteq B \).

Determine the range of the real number \( m \).

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