Final answer:
The set M, which consists of the odd integers between 1 and 12 that are divisible by 3, is {3, 9}.
Step-by-step explanation:
To find the set of odd integers between 1 and 12 that are divisible by 3, we start by listing the odd integers between 1 and 12: 1, 3, 5, 7, 9, 11. Next, we identify the integers in this list that are divisible by 3, which are 3 and 9. Therefore, the set M = {3, 9}.