
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
It is known that $p:$ the equation $\dfrac{{x}^{2}}{9-m}+\dfrac{{y}^{2}}{2m}=1$ represents an ellipse with foci on the $x$-axis, and $q:$ the hyperbola $\dfrac{{x}^{2}}{5}-\dfrac{{y}^{2}}{m}=1$ has an eccentricity $e \in \left( \dfrac{\sqrt{6}}{2},\sqrt{2} \right)$.

$(1)$ If the foci of the ellipse $\dfrac{{x}^{2}}{9-m}+\dfrac{{y}^{2}}{2m}=1$ and the vertices of the hyperbola $\dfrac{{x}^{2}}{5}-\dfrac{{y}^{2}}{m}=1$ coincide, find the value of the real number $m$;

$(2)$ If "$p \land q$" is a true statement, determine the range of values for the real number $m$.

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