(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] metric space

1. The problem statement, all variables and given/known data

If x and y are two points in a metric space and d(x,y) = 1, is it always true that the closure of B(x,1/2) does not contain y?

In general, is [tex] closure( B(x,r)) = \{z | r \geq d(x,z)\}[/tex]

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Metric space

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