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closure, interior, and boundary

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What are the closure, interior, and boundary of an open ball in E^n? A closed ball in E^n?
What are the closure, interior, and boundary of a subset S of E with the discrete distance function (d(p,q)=1 unless p=q)?

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Find the closure, interior, and boundary in the case.

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An open ball in E^n has the form B(x; r) = {y in E^n: |y - x| < r}
The closure of B(x; r) is {y in E^n: |y - x| <= r}
The interior of B(x; r) is {y in E^n: |y - x| < r }
The boundary of B(x; r) is {y in E^n: |y - ...

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