Metric space- I need help, please

[Akashay]

Could someone help me solve this?

 

[Deleted member 4993]

Could someone help me solve this?

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520​

Please share your work/thoughts about this problem.

 

[Steven G]

Could someone help me solve this?

How can we help you if you do not state where you are stuck? For the record asking for help and asking us to do your work for you are not the same.

 

[Deleted member 4993]

How can we help you if you do not state where you are stuck? For the record asking for help and asking us to do your work for you are not the same.

The OP is gone ... why beat a dead-horse?

 

[pka]

Could someone help me solve this?

Here is help solving the tasks.
The statement that \(p\) is an interior point of a set \(S\) means that there is an open set \(\mathcal{O}\) such that \(p\in\mathcal{O}\subset S\).
Two of the given sets have empty interiors; one set is its own interior; & interior fourth is one of the other sets.

 

[HallsofIvy]

The OP is gone ... why beat a dead-horse?

It's safer than beating a live horse!