Need Help with prove in real

  • Thread starter happybear
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  • #1
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Homework Statement


If X = R with a special metirc, En = [n, infinity) ()
How can I show infinite intersection of En is empty?

Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
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I am not sure what you mean by "special metric", since the statement you are trying to show has nothing to do with a metric.

To show that the intersection is empty use the fact that for any real number x there exists a positive integer n such that x<n.
 

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