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Math Help - equivalence relation and class

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    equivalence relation and class

    Define a relation R on the set of all integers Z by xRy iff x-y=2k for some integer k. Verify that R is an equivalence relation and describe the equivlence class E5. How many distinct equivalence classes are there?
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    Quote Originally Posted by yenbibi View Post
    Define a relation R on the set of all integers Z by xRy iff x-y=2k for some integer k. Verify that R is an equivalence relation and describe the equivlence class E5. How many distinct equivalence classes are there?
    Do you understand that that this relation means that two integers are equivalent if and only if their difference is even?
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