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?
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?