
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
Alice, Bob, and Charlie are arguing about the distance from their campsite to a distant landmark. Alice asserts, "It must be at least $7$ miles away," but this is false. Bob claims, "It's no more than $8$ miles away," which is also incorrect. Lastly, Charlie suggests, "The landmark is at most $10$ miles away," a statement that is untrue as well. Let \( d \) be the distance in miles to the landmark. Determine the set of all possible values for \( d \) based on these incorrect statements.
**A)** \( [0,7) \)
**B)** \( (8,\infty) \)
**C)** \( (10,\infty) \)
**D)** \( (8,10] \)
**E)** \( [7,10] \)

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