Let A be a nonempty subset of a topological space X. Which of the following statements is true?
1
If A is connected, then its closure \(\bar{A}\) is not necessarily connected
2
If A is path connected, then its closure \(\bar{A}\) is path connected
3
If A is connected, then its interior is not necessarily connected
4
If A is path connected, then its interior is connected
5
Question Not Attempted