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I need this answered! Part lll: Relations (50 pt.) 1. (30 pt, 5 pt. each) For each of the following relations, determine whether the relation

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Part lll: Relations (50 pt.) 1. (30 pt, 5 pt. each) For each of the following relations, determine whether the relation is: Reflexive A partial order. A strict order. A total order. Anti-reflexive Symmetric. Anti-symmetric. . An equivalence relation Transitive. Justify vour answers a. R is a relation on the set {1, 2, 3,4) such that R = {(1, 1), (1,2), (2, 1), (2,2), (3,3), (44)). b. R is a relation on the set of all people such that (a, b) E R if and only if a and b have a common grandparent. c. R is a relation on the power set of a set A such that (x.y) e R if and only if x c y. d. R is a relation on Z+ such that (x y) e R if and only if x divides y. e. R is a relation on Z such that (x,y) E R if and only if x y. f. R is a relation on Z such that (x.y) e R if and only if xy 21

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