
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 expression of an inverse proportion function as $y=\frac{{1+2m}}{x}$, $A(x_{1}$,$y_{1})$ and $B(x_{2}$,$y_{2})$ are two points on the graph of the inverse proportion function. If $x_{1} \lt 0 \lt x_{2}$ and $y_{1} \lt y_{2}$, then the range of $m$ is ____.

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