
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 coordinates of the starting point \( P \) and the ending point \( Q \) of the directed line segment \( P Q \) are \((-1,1)\) and \( (2,2) \) respectively, if the line \( l: x + my + m = 0 \) intersects the extension of \( P Q \), what is the range of values for \( m \)?

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