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 Rand S from a set A to a set B, RUS= {(x, y) E A × B| (x, y) ERor (x, y) E S} RN S= {(x, y) E A x B| (x, y) ER and (x, y) E S}. Let A = {-4, 4, 7, 9} and B = {4, 7}, and define relations R and S from A to B as follows. For every (x, y) EA x B, x R y |x| = [yl and xSy+x- y is even. Which ordered pairs are in A x B, R, S, RU S, and Rn S? (Use set-roster notation to enter your answers.) A xB = R = S = RUS = ROS =
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 Rand S from a set A to a set B, RUS= {(x, y) E A × B| (x, y) ERor (x, y) E S} RN S= {(x, y) E A x B| (x, y) ER and (x, y) E S}. Let A = {-4, 4, 7, 9} and B = {4, 7}, and define relations R and S from A to B as follows. For every (x, y) EA x B, x R y |x| = [yl and xSy+x- y is even. Which ordered pairs are in A x B, R, S, RU S, and Rn S? (Use set-roster notation to enter your answers.) A xB = R = S = RUS = ROS =
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) E A × B| (x, y) ERor (x, y) E S}
RO S= {(x, y) E A x B | (x, y) ERand (x, y) E S}.
Let A = {-4, 4, 7, 9} and B = {4, 7}, and define relations R and S from A to B as follows.
For every (x, y) E Ax B, x R y x| = [y] and x Sy x - y is even.
Which ordered pairs are in A x B, R, S, R U S, and RN S? (Use set-roster notation to enter your answers.)
Ax B =
R =
S =
RUS =
ROS =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b54cbd5-e9a4-4e27-8866-ff5cac671566%2Fd3b2aa3f-345d-448a-b4ae-88e96843458c%2Flde2j2s_processed.jpeg&w=3840&q=75)
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) E A × B| (x, y) ERor (x, y) E S}
RO S= {(x, y) E A x B | (x, y) ERand (x, y) E S}.
Let A = {-4, 4, 7, 9} and B = {4, 7}, and define relations R and S from A to B as follows.
For every (x, y) E Ax B, x R y x| = [y] and x Sy x - y is even.
Which ordered pairs are in A x B, R, S, R U S, and RN S? (Use set-roster notation to enter your answers.)
Ax B =
R =
S =
RUS =
ROS =
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