Answered: 7. For each of the following relations…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter10: Inequalities

Section10.2: Solving Inequalities

Problem 62WE

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7. For each of the following relations on the set of all real numbers, solve all of the subparts correctly on a word processing document to determine whether it is reflexive, symmetric, antisymmetric, transitive. Here xRy if and only if:

(a) x + 2y = 0

(b) x = 2y
(c) x − y is a rational number

(d) xy = 0
(e) xy ≥ 0 (f) x = 1 or y = 1

(f) x = 1 or y = 1
(g)x is a multiple of y

(h) xy = 1

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