
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 $q$, where proposition $p$ states that the equation $\frac{x^2}{2m} - \frac{y^2}{m-1} = 1$ represents an ellipse with foci on the $y$-axis, and proposition $q$ states that $m^2 - 15m < 0$. If the proposition $p \wedge q$ is false, and $p \vee q$ is true, find the range of values for $m$.

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