To find the even numbers less than 50 that are not divisible by 3, we can consider the following steps:
1. List all the even numbers less than 50: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48.
2. Now, we need to remove the numbers that are divisible by 3: 6, 12, 18, 24, 30, 36, 42, 48.
3. Finally, compute the set difference between the initial set of even numbers and the set of numbers divisible by 3: {2, 4, 8, 10, 14, 16, 20, 22, 26, 28, 32, 34, 38, 40, 44, 46}.
So, the even numbers less than 50 that are not divisible by 3 are {2, 4, 8, 10, 14, 16, 20, 22, 26, 28, 32, 34, 38, 40, 44, 46}.