
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
During a hiking trip, Paula believes that the nearest campsite is at least 10 miles away. Daniel thinks it is at most 9 miles away, and Emily believes that it is exactly 11 miles away. After checking a map, they found that none of these statements were true. Let $d$ be the distance in miles to the nearest campsite. Determine the interval that $d$ must fall into.
A) $(9, 10)$  
B) $(10, \infty)$  
C) $(9, 11)$  
D) $(9, \infty)$  
E) $(11, \infty)$

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