Question: 3. Define a relation R on Z by nR.m 3k Z, n -k m = 2k a. Show that R is an equivalence relation.

3. Define a relation R on Z by nR.m 3k Z, n -k m = 2k a. Show that R is an equivalence relation. Justify your answers. The relation R is reflexive because The relation R is symmetric because The relation R is transitive because b. Find the equivalence class E4.

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