Solved: Refer to unions and intersections of relations.
Chapter 8, Problem 19E(choose chapter or problem)
Refer 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 to B,R ? S = {(x, y) ? A × B | (x, y) ? R or (x, y) ? S}R ? S = {(x, y) ? A × B | (x, y) ? R and (x, y) ? S}.ExerciseLet A = {2, 4} and B = {6, 8, 10} and define relations R and S from A to B as follows: For all (x, y) ? A × B,x R y ? x | y andx S y ? y – 4 = x.State explicitly which ordered pairs are in A × B, R, S, R ? S, and R ? S.
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