If K is bounded, then K is compact
solution: if K is Not bounded, then K is not compact
I have looked at several of your posts. They seem to be all over the place. We might be better able to help you if we had some clue about where these questions are coming from. Moreover, it is important to give a complete and exact statement of the problem. Is this question simply "What is the negation of 'If K is closed and bounded, then K is compact'"?