4. (30 pt., 6 pt. each) For each of the following relations, determine whether the relation is: Reflexive. Anti-reflexive. Symmetric. Anti-symmetric. Transitive. A partial order. A strict order. An equivalence relation. a. 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. b. R is a relation on the power set of a set A such that (X, Y) E
OR
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