
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
It is known that the line $y=kx+b$ passes through points $A(x_1, y_1)$ and $B(x_2, y_2)$. If $k<0$, and $x_1<x_2$, then $y_1$ ___ $y_2$ (fill in ">" or "<"). If the direct proportion function $y=(1-2m)x$ passes through points $A(x_1, y_1)$ and $B(x_2, y_2)$, and when $x_1<x_2$, $y_1>y_2$, then the range of $m$ is ___.

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