Real numbers x, y, and z are chosen independently and at random from the interval [0, n] for some positive integer n. The probability that no two of x, y, and z are within 1 unit of each other is greater than \dfrac{1}{2}. What is the smallest possible value of n ?

**Answer Choices**

A. 7

B. 8

C. 9

D. 10

E. 11