
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 $A\left({x}_{1},{y}_{1}\right)$ and $B\left({x}_{2},{y}_{2}\right)$ are on the graph of the inverse proportion function $y=\dfrac{3}{x}$ and ${x}_{1}\lt 0\lt {x}_{2}$, determine the relationship between the y-coordinates ${y}_{1}$ and ${y}_{2}$.

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