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Discrete Mathematics Question 4) Given the following relations, tell if each relation is reexive, symmetric, antisymmetric or transitive. (Fill in the entire table below with

Discrete Mathematics Question

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4) Given the following relations, tell if each relation is reexive, symmetric, antisymmetric or transitive. (Fill in the entire table below with 0's and 1's, where a 1 means yes, and 0 means no. So there will be twenty-four 0's and 1's in the table.) a) R is over Z where R = grey) | X > y} b) R is over { l,2,3,4,5,6 } where R = { (3,5), (4,5) } c) R is over {living humans} Where R = grey) l X and y are biological sisters with the same parents } . (Note: no woman is her own sister). d) R is the relation over the set of lines in a plane where (X, y) in R if X and y are perpendicular. e) R is over {speaking humans} where R = gmy) | x and y speak a common language } i) R is over i real numbers } where R = { (X,y) | X*y 2 10 } Reexive? Symmetric? Antisymmetric? Transitive

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