
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 proportional function $y = \frac{1 - 2m}{x}$, there are two points A($x_1$, $y_1$) and B($x_2$, $y_2$) on the graph. When $x_1 < 0 < x_2$, we have $y_1 < y_2$. Determine the range of $m$.

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