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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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
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=
SAVE
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