
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 $y=\frac{{2-k}}{x}$ passes through the point $A\left(3,-2\right)$.  
$(1)$ Find the value of $k$.  
$(2)$ Points $C(x_{1},y_{1})$ and $B(x_{2},y_{2})$ are both on the graph of the inverse proportion function $y=\frac{{2-k}}{x}$. If $0 \lt x_{1} \lt x_{2}$, directly write down the relationship between $y_{1}$ and $y_{2}$.

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