Final answer:
Subtracting the set {1, 2, 3} from {3, 6, 9} results in {6, 9}, as the common element 3 is removed from the first set.
Step-by-step explanation:
When subtracting two sets, we remove the elements of the second set from the first set. Given the two sets {3, 6, 9} and {1, 2, 3}, we remove the element 3 from the first set because it is common to both sets. After subtraction, the elements that remain in the first set are {6, 9}. Therefore, the correct answer is c) {6, 9}.