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
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
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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