Suppose p is a positive integer, Rp is the equivalence relation on the set of all integers definedby Rp = {(x, y) ≤ Z × Z : x mod p = y mod p} and for every integer n, [n], denotes theequivalence class of n in Rp. Then, [27]4 U [25]4 = [51]2.TrueFalse

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Answered: Suppose p is a positive integer, Rp is…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose p is a positive integer, Rp is the equivalence relation on the set of all integers defined by Rp = {(x, y) = Z × Z :x mod p = y mod p} and for every integer n, [n] denotes the equivalence class of n in Rp. Then, [27]4 U [25]4 = [51]2. True False