
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 $f(x) = x^2 + mx - 1$ with $m \in \mathbb{R}$.
(1) If the solution set to the inequality $f(x) < 0$ is $\{x | -2 < x < n\}$, find the values of the real numbers $m$ and $n$;
(2) If for all $x \in [m, m+1]$, $f(x) < 0$ holds true, determine the range of values for the real number $m$.

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