
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 the function $f(x)=\frac{\sin x}{x}$ and $g(x)=m\cos x-x$, where $m>0$.  
$(Ⅰ)$ Discuss the monotonicity of the function $f(x)$ on the interval $(-\pi, 0) \cup (0, \pi)$.  
$(Ⅱ)$ If the equation $mf(x)=g(x)$ has exactly one real root on the interval $(0, \frac{3\pi}{2})$, find the range of values for $m$.

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