
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 points $A(x_{1}, y_{1})$, $B(x_{2}, y_{2})$, $C(x_{3}, y_{3})$ are all on the graph of the inverse proportion function $y=\frac{k}{x}$ where $k>0$, with $x_{1} < 0 < x_{2} < x_{3}$, then the relationship between $y_{1}$, $y_{2}$, $y_{3}$ is ______.

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