
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
The nearest town is set relative to the positions of Jake, Sarah, and Lin. Jake stated, "The town is at least 8 miles away." Sarah responded with, "It's no more than 7 miles away," and Lin mentioned, "The town is actually no more than 6 miles away." However, none of their statements turned out to be true. Let \( d \) represent the distance in miles to the nearest town. What is the interval for all possible values of \( d \)?
A) $(6, 7)$
B) $(6, 8)$
C) $(7, 8)$
D) $(7, \infty)$

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