
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
Elena, Fiona, and Greg were trying to estimate the distance from their current location to a certain landmark. Elena said, "The landmark is at least 8 miles away." Fiona mentioned, "It is at most 6 miles away," and Greg added, "It’s actually at most 3 miles away." Later, they found out that all of their statements were incorrect. Let $d$ denote the distance in miles to the landmark. Which interval correctly represents the possible values of $d$?
A) $(0, 3)$
B) $(3, 6)$
C) $(6, 8)$
D) $(3, 8)$
E) $(8, \infty)$

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