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Math Help - Help with Equivalence Relations

  1. #1
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    Help with Equivalence Relations

    Here is my problem,

    Let A be a set of all numbers divisible by 3. Show that A is equipotent to B. Important: When you find the bijection from A to Z (all integers) you need to prove it is a bijection.
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    Quote Originally Posted by Nach1855 View Post
    Let A be a set of all numbers divisible by 3. Show that A is equipotent to B. Important: When you find the bijection from A to Z (all integers) you need to prove it is a bijection.
    From the given A=\{3j:j\in \mathbb{Z}\}~~. Define \Phi:A\to \mathbb{Z} by 3j\mapsto j.
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