Final answer:
To find the numbers that are multiples of 4 but not multiples of 6, determine the LCM of 4 and 6. The LCM is 12. The multiples of 4 that are not multiples of 6 are 4, 8, 16, 20, 24, 28, and so on.
Step-by-step explanation:
To find the numbers that are multiples of 4 but not multiples of 6, we need to determine the LCM (Least Common Multiple) of 4 and 6. The LCM of 4 and 6 is 12. So, any number that is a multiple of 4 will also be a multiple of 12.
Now, we need to find the numbers that are multiples of 6. The multiples of 6 are 6, 12, 18, 24, 30, and so on.
However, we are looking for the numbers that are multiples of 4 but not multiples of 6. This means we need to exclude the numbers that are also multiples of 6. Therefore, the numbers that are multiples of 4 but not multiples of 6 are: 4, 8, 16, 20, 24, 28, and so on.