Alice, Bob, and Charlie were on a hike and were wondering how far away the nearest town was. When Alice said, We are at least 6 miles away, Bob replied, We are at most 5 miles away. Charlie then remarked, Actually the nearest town is at most 4 miles away. It turned out that none of the three statements was true. Let d be the distance in miles to the nearest town. Which of the following intervals is the set of all possible values of d ?

**Answer Choices**

A. (0,4)

B. (4,5)

C. (4,6)

D. (5,6)

E. (5, \infty)