
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 $0 < m < 9$, proposition $p$: the equation $\frac{{{x}^{2}}}{2m}+ \frac{{{y}^{2}}}{9-m}=1$ represents an ellipse with foci on the $y$-axis, and proposition $q$: the eccentricity $e$ of the hyperbola $\frac{{{y}^{2}}}{5}- \frac{{{x}^{2}}}{m}=1$ is in the interval $(\frac{\sqrt{6}}{2},\sqrt{2})$, if the proposition "$p \vee q$" is true and "$p \wedge q$" is false, find the range of values for the real number $m$.

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