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4. (28 points) Consider the following relations, determine whether the relation described is reflexive (R), symmetric (S), antisymmetric (AS), and transitive (T). Report the results

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4. (28 points) Consider the following relations, determine whether the relation described is reflexive (R), symmetric (S), antisymmetric (AS), and transitive (T). Report the results in a table, for example, R? Yes / No Yes / NoYes / NoYes / No Relation S? AS? T? Also, briefly explain for any "no" answer, why the relation does not have a given property. (a) Ra-(a, a), (b, b), (c, c), (d, d), (a, b), (b, a)) on a, b, c, dy (b) Rb = (0,0), (2,0), (0,2), (2,2)) on R (c) Rosen 9.1.4(a) (d) Rosen 9.1.4(c) (e) Rosen 9.1.4(d) (f) Rf -(Bill Gates, Mark Zuckerberg)) on the set of all people. (g) The > relation on Z (h) The relation on Z (h) The

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