[SOLVED] connect subsets

[dwsmith]

What are all the connect subsets of $\mathbb{R}$?

 

[caffeinemachine]

What are all the connect subsets of $\mathbb{R}$?

I believe thay are called connected subsets. Any connected subset of $\mathbb{R}$ is an interval(including semi-infinite and infinite ones).
Check out Connected space - Wikipedia, the free encyclopedia