I am working on homework right now, and I am not sure of how to solve this problem. I am not sure of how to come up with the translation. Any help is greatly appreciated. This is the problem:
Write this in English: ∀k ∈ 3Z ,∃S ⊆ N ,|S | = k . (Is it true?) What is the negation of this statement? (Is the negation true?)
I have made an attempt and think that it says, "For every integer, there exists 3 integers such that S is a subset of N, and |S| is equal to k."
I am not sure if this is correct or not.