
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
Four friends, Alice, Bob, Charlie, and Dana, were guessing the distance to the nearest town during their hike. Alice said, "We are at least $8$ miles away." Bob replied, "We are at most $7$ miles away." Charlie added, "The town is at most $6$ miles away," and Dana remarked, "We are exactly $5$ miles away from the town." Later, it was discovered that none of these statements were true. Let $d$ be the distance in miles to the nearest town. Determine the interval that represents all possible values of $d$.
**A) $(6,7)$**
**B) $(7,8)$**
**C) $(6,8)$**
**D) $(5,6)$**
**E) $(7,\infty)$**

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