
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 proposition p: The equation $\frac{x^2}{2m} - \frac{y^2}{m-1} = 1$ represents an ellipse with foci on the y-axis, and proposition q: The hyperbola $\frac{y^2}{5} - \frac{x^2}{m} = 1$ has an eccentricity $e$ belonging to the interval (1, 2). If $p \vee q$ is a true proposition and $p \wedge q$ is a false proposition, determine the range of values for the real number $m$.

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