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Let R5 be the relation on Z + Z+ where ((a, b),(c, d)) R if and only if a/c = b/d. (a) Prove that R5
Let R5 be the relation on Z + Z+ where ((a, b),(c, d)) R if and only if a/c = b/d.
(a) Prove that R5 is an equivalence relation.
(b) Define a function f such that f(a, b) = f(c, d) if and only if ((a, b),(c, d)) R.
(c) Define the equivalence class containing (1, 1).
(d) Describe the equivalence classes. How many classes are there and how many elements in each class?
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