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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
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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