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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- Sep 20th 2008, 03:41 PMyenbibiequivalence 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?

- Sep 20th 2008, 05:01 PMPlato