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

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