When 3 is subtracted from 1/3 of a number n, the result is less than 6. Which inequality and solution represent this situation?

A: 1/3n - 3 < 6; n < 27

B: 3 - 1/3n < 6; n > -9

C: 1/3n - 3 < 6; n < 9

D: 3 - 1/3n < 6; n < -9