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Prove 2 sets are equivalent by finding a one-to-one and onto function between them.

  1. Sep 25, 2009 #1
    1. The problem statement, all variables and given/known data
    Hi, new to the Physics Forum and desperately need some help with a math analysis problem...

    Prove that {x|x>1} and {x|0<x<1} are equivalent sets by writing a function and show that it is one-to-one and onto.


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Sep 25, 2009 #2
    Re: Prove 2 sets are equivalent by finding a one-to-one and onto function between the

    The sets are not equivalent, rather they have the same cardinality.
     
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