Final answer:
The set that contains all multiples of 6 between 6 and 36 inclusive is option a, which lists {6, 12, 18, 24, 30, 36}.
Step-by-step explanation:
The question asks for the multiples of 6 between 6 and 36 inclusive. To find the set that correctly lists these multiples, we look for numbers that are divisible by 6 within the given range.
Option a. {6, 12, 18, 24, 30, 36} shows a list of numbers where each number is indeed a multiple of 6. These numbers are 6x1, 6x2, 6x3, 6x4, 6x5, and 6x6, respectively.
The correct answer is therefore option a, as it includes all the multiples of 6 between 6 and 36 inclusive.