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This question refers to unions and intersections of relations. Since relations are subsets of Cartesian products, their unions and intersections can be calculated as for any subsets. Given two relations R and S from a set A to a set B, RUS = {(x, y) EAXB | (x, y) ER or (x, y) ES) Rns={(x, y) EAxBI (x, y) ER and (x, y) E S). Let A = (-2, 2, 5, 7) and B (2, 5) and define relations R and S from A to B as follows: For every (x, y) EA x B, xRylxl = lyl and xSyx-y is even. Using set-roster notation, state explicitly which ordered pairs are in A x B, R, S, RUS, and R n S. (Enter your answers as comma-separated lists of ordered pairs.) AxB= R = S = RUS = Rns=

This question refers to unions and intersections of relations. Since relations are subsets of Cartesian products, their unions and intersections can be calculated as for any subsets. Given two relations R and S from a set A to a set B, RUS = {(x, y) EAXB | (x, y) ER or (x, y) ES) Rns={(x, y) EAxBI (x, y) ER and (x, y) E S). Let A = (-2, 2, 5, 7) and B (2, 5) and define relations R and S from A to B as follows: For every (x, y) EA x B, xRylxl = lyl and xSyx-y is even. Using set-roster notation, state explicitly which ordered pairs are in A x B, R, S, RUS, and R n S. (Enter your answers as comma-separated lists of ordered pairs.) AxB= R = S = RUS = Rns=

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 14E: In each of the following parts, a relation is defined on the set of all human beings. Determine...
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This question refers to unions and intersections of relations. Since relations are subsets of Cartesian products, their unions and intersections can be calculated as for any subsets. Given two relations R and S from a set A to a set B, RUS = {(x, y) EAXB | (x, y) ER or (x, y) ES) Rns={(x, y) EAxBI (x, y) ER and (x, y) E S). Let A = (-2, 2, 5, 7) and B (2, 5) and define relations R and S from A to B as follows: For every (x, y) EA x B, xRylxl = lyl and xSyx-y is even. Using set-roster notation, state explicitly which ordered pairs are in A x B, R, S, RUS, and R n S. (Enter your answers as comma-separated lists of ordered pairs.) AxB= R = S = RUS = Rns=
Transcribed Image Text:This question refers to unions and intersections of relations. Since relations are subsets of Cartesian products, their unions and intersections can be calculated as for any subsets. Given two relations R and S from a set A to a set B, RUS = {(x, y) EAXB | (x, y) ER or (x, y) ES) Rns={(x, y) EAxBI (x, y) ER and (x, y) E S). Let A = (-2, 2, 5, 7) and B (2, 5) and define relations R and S from A to B as follows: For every (x, y) EA x B, xRylxl = lyl and xSyx-y is even. Using set-roster notation, state explicitly which ordered pairs are in A x B, R, S, RUS, and R n S. (Enter your answers as comma-separated lists of ordered pairs.) AxB= R = S = RUS = Rns=
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