Sorry about putting the thread in the wrong place. I will be sure to put it in the right place next time.
Ok, so since B(x,r) is a subset of B(x',r'), we know that x is an element of B(x',r').
This implies that d(x,x') < r'.
But we need d(x,x') < r' - r
I'm not exactly sure how to...
As stated, the problem is to prove B(x,r) is a subset of B(x',r') if and only if d(x,x')<r'-r, where d is a measure function. The proof going one direction seems pretty simple, but I can not figure out the other direction
Attempt at answer
<=
Assume d(x,x') < r'-r.
Assume a is an...
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Homework Statement
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