1a. {(0,0), (1,1), (2,2), (3,3)}1b. {(1,3), (2,2), (3,1), (4,0)}1c. {(1,0), (2,0), (2,1), (3,0), (3,1), (3,2), (4,0), (4,1), (4,2), (4,3)}1d. {(1,1), (1,2), (1,3), (2,2), (3,3)}1e. {(0,1), (1,0), (1,1), (1,2), (1,3), (2,1), (2,3), (3,1), (3,2), (4,1), (4,3)}1f. {(1,2), (2,1), (2,2)}3a.Fails reflexive test because the ordered pair (1,1) is not in the set.Fails the symmetric test because (2,4) is present, but (4,2) is not.Fails the antisymmetric test because (2,3),(3,2) are in R, but 2 3.Passes the transitive test since (2,3),(3,2) are in R, and (2,3),(3,4) are in R then (2,2) and (2,4) arein R3b.Passes the reflexive test since (1,1),(2,2),(3,3),(4,4) are all in R.Passes the symmetric test since (1,2),(2,1) are both in R.Fails the antisymmetric test since there are no elements that ab where both (a,b) and (b,a) arein R.Passes the transitive test since (1,2) and (2,1) are in R, and both (1,1) and (2,2) are also in R.3c.Fails reflexive test since (2,2) is not included in R.Passes the symmetric test since (2,4) and (4,2) both belong to R.Fails the antisymmetric test since 24 and (2,4) and (4,2) both belong to R.Fails the transitive test since (2,4),(4,2) are in R, then (2,2) and (4,4) would also be required.3d.Fails reflexive test since (1,1), among others, are not included in R.Fails symmetric test since (1,2) is included in R, but (2,1) is not.Passes the antisymmetric test because there are no elements with ab such that (a,b) and (b ...

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