
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 inverse proportion function $y=\frac{k-2}{x}$ whose graph lies in the second and fourth quadrants.<br/>$(1)$ Find the range of values for $k$;<br/>$(2)$ If points $A(-4$,$y_{1})$ and $B(-1$,$y_{2})$ are two points on the graph of this inverse proportion function, compare the values of $y_{1}$ and $y_{2}$.

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