
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 the function $f(x) = x^3 - x^2 - 10x$, and the set $A = \{x | f'(x) \leq 0\}$, set $B = \{x | p + 1 \leq x \leq 2p - 1\}$. If $A \cup B = A$, find the range of values for $p$.

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