What is the set of even natural numbers which are multiples of 3?

Answer 1

The set of even natural numbers which are multiples of 3 is an empty set. This is because even numbers are divisible by 2, while multiples of 3 are not divisible by 2. Therefore, there are no numbers that satisfy both conditions simultaneously.

Answer 2

If the numbers are even, they are divisible by 2. So, the set of numbers must be divisible by both 2 and 3, which is the same as being divisible by 6.

The set is {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, ...}