This question refers to unions and intersections of relations. Since relations are subsets a 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) EAxBI (x, y) ER or (x, y) ES} Rns= ((x, y) EAXB|(x, y) ER and (x, y) ES). 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, x Ry |x| = lyl and xSysx-y is even. Using set-roster notation, state explicitly which ordered pairs are in A x B, R, S, RUS, and Rn S. (Enter your answers as comma-separated lists of ordered pairs.) Ax B = R = S = RUS = Rns=

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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) E AXBI (x, y) ER and (x, y) ES}.
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,
x Ry|x] = lyl and
xSy⇒x-y is even.
Using set-roster notation, state explicitly which ordered pairs are in A x B, R, S, RUS, and Rn S. (Enter your answers as comma-separated lists of ordered pairs.)
Ax B =
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) E AXBI (x, y) ER and (x, y) ES}. 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, x Ry|x] = lyl and xSy⇒x-y is even. Using set-roster notation, state explicitly which ordered pairs are in A x B, R, S, RUS, and Rn S. (Enter your answers as comma-separated lists of ordered pairs.) Ax B = R = S = RUS = RNS = *******
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