
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 a line l with a slope of k and an ellipse C: $$\frac {x^{2}}{4} + \frac {y^{2}}{3}$$ = 1 intersecting at points A and B, with the midpoint of segment AB being M(l, m) (m > 0), determine the range of k.

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