
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 \( A = \{ x \mid x^2 - 3x - 10 \leq 0 \} \) and set \( B = \{ x \mid m+1 \leq x \leq 2m-1 \} \). If \( A \cap B = B \), find the range of the real number \( m \).

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