Question: If R is a relation, then aRb denotes that (a,b) ER. Let us define a relation modz on Z as follows: a modz b if

 If R is a relation, then aRb denotes that (a,b) ER.

If R is a relation, then aRb denotes that (a,b) ER. Let us define a relation modz on Z as follows: a modz b if a b is an integer multiple of 7. Show that mod, is an equivalence relation on Z

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