
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 that the equation $\frac{x^2}{9-m} + \frac{y^2}{2m} = 1$ represents an ellipse with foci on the $x$-axis and the eccentricity $e$ of the hyperbola $\frac{x^2}{5} - \frac{y^2}{m} = 1$ is in the interval $(\frac{\sqrt{6}}{2}, \sqrt{2})$.

(I) If the foci of the ellipse and the vertices of the hyperbola coincide, find the value of the real number $m$.

(II) If the proposition "$p \wedge q$" is true, find the range of values for the real number $m$.

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