Let R C R+ x R+ with R = {(x, y)|[x] = [y]}, that is, x and y round up tothe sane number. Characterize R in terms of whether it is reflexive, irreflexive,%3Dsymmetric, anti-symmetric, transitive, complete, any sort of ordering relation, and/or anequivalence relation. This is not a formal proof, but briefly explain your reasoning.

Let RC R+ x R+ with R = {(x, y)|[x] = [y]}, that is, x and y round up to the sane number. Characterize R in terms of whether it is reflexive, irreflexive, symmetric, anti-symmetric, transitive, complete, any sort of ordering relation, and/or an equivalence relation. This is not a formal proof, but briefly explain your reasoning.

Let RC R+ x R+ with R = {(x, y)|[x] = [y]}, that is, x and y round up to the sane number. Characterize R in terms of whether it is reflexive, irreflexive, symmetric, anti-symmetric, transitive, complete, any sort of ordering relation, and/or an equivalence relation. This is not a formal proof, but briefly explain your reasoning.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...

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