Let A = Z+× Z+. Define a relation R on A as follows: For
Chapter 8, Problem 44E(choose chapter or problem)
Let A = Z+× Z+. Define a relation R on A as follows: For all (a, b) and (c, d) in A,(a, b) R (c, d) ? a + d = c + b.a. Prove that R is reflexive.________________b. Prove that R is symmetric.________________c. Prove that R is transitive.________________d. List five elements in [(1, 1)].________________e. List five elements in [(3, 1)].________________f. List five elements in [(1, 2)].________________g. Describe the distinct equivalence classes of R.
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