(50 pt., 10 pt. each) For each of the following relations, determine whether the relation is: . Reflexive. . Anti-reflexive. 1. Symmetric. .Anti-symmetric Transitive. R is a relation on the set (1,2,3, 4) such that R-((1, 1). (1,3), (2,2). (3, 1), (3,3). (4,4)J 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. a. b. c. R is a relation on the power set of a set A such that (x,y) e R if and only ifxcy d, R is a relation on Z such that (x,y) E R if and only if x y. e. R is a relation on Z' such that (x. y) R if and only if y is divisible by x. Hint: An integer y is divisible by an integer with x # 0 if and only if there exists an integer k such that y rk