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Equivalence Classes

  1. Mar 11, 2012 #1
    1. The problem statement, all variables and given/known data

    R is a relation on the integers, xRy if x^2=y^2. Determine the distinct equivalence classes.

    2. Relevant equations

    [x]={yεZ}|yRx} Where Z is the set of integers

    3. The attempt at a solution

    [n]={-n, n} where n is an integer

    is this correct?
  2. jcsd
  3. Mar 11, 2012 #2
    I think you are correct, there are infinitely many equivalence classes though.
    [1], [2], [3]...etc.
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