
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 equation $\frac{x^2}{2m} - \frac{y^2}{m-1} = 1$ represents an ellipse with foci on the $y$-axis.
- Proposition $q$: The eccentricity $e$ of the hyperbola $\frac{y^2}{5} - \frac{x^2}{m} = 1$ is such that $e \in (1, 2)$.

Find the range of values for $m$ if propositions $p$ and $q$ satisfy: $p \land q$ is false, and $p \lor q$ is true.

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