
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
Let $\mathit{F1}$ and $\mathit{F2}$ be the foci of an ellipse, where $\mathit{F2}$ is also a point on the perimeter of the ellipse. Identify the set of points $\mathit{A}$ within the plane of the ellipse such that the distance from $\mathit{A}$ to $\mathit{F2}$ is less than or equal to the distance from $\mathit{A}$ to $\mathit{F1}$.
A) The full ellipse  
B) A ray starting at $\mathit{F2}$ traveling towards $\mathit{F1}$
C) A line segment from $\mathit{F1}$ to $\mathit{F2}$
D) A circle centered at $\mathit{F2}$
E) None of the above

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