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Mathematics, 11.05.2021 01:40 Milan1025

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, R βˆͺ S = {(x, y) ∈ A βœ• B | (x, y) ∈ R or (x, y) ∈ S} R ∩ S = {(x, y) ∈ A βœ• B | (x, y) ∈ R and (x, y) ∈ S}. Let A = {βˆ’4, 4, 7, 9} and B = {4, 7}, and define relations R and S from A to B as follows. For every (x, y) ∈ A βœ• B, x R y ⇔ |x| = |y| and x S y ⇔ x βˆ’ y is even. Which ordered pairs are in A βœ• B, R, S, R βˆͺ S, and R ∩ S? (Use set-roster notation to enter your answers.) A βœ• B = R = S = R βˆͺ S = R ∩ S =

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