
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 propositions $p$ and $q$:

- Proposition $p$: The function $f(x)=2x^{2}-2(m-2)x+3m-1$ is monotonically increasing on the interval $(1,2)$.
- Proposition $q$: The equation $\frac{x^{2}}{m+1} + \frac{y^{2}}{9-m} = 1$ represents an ellipse with foci on the $y$-axis.

If $p$ or $q$ is true, $p$ and $q$ are false, and $\lnot p$ is false, find the range of values for $m$.

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