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(Solved) : 50 Pt 10 Pt Following Relations Determine Whether Relation Reflexive Anti Reflexive Symm Q27398570 . . .

(50 pt., 10 pt. each) For each of the following relations, determine whether the relation is: . Reflexive. Anti-reflexive. . Symmetric Anti-symmetric. Transitive. Justify your answers. 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). 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. 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 y. e. R is a relation on Z+ such that (x,y) E R if and only if y is divisible by x. Hint: An integer y is divisible by an integer x with x such that y xk. 0 if and only if there exists an integer k

(50 pt., 10 pt. each) For each of the following relations, determine whether the relation is: . Reflexive. Anti-reflexive. . Symmetric Anti-symmetric. Transitive. Justify your answers. 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). 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. 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 y. e. R is a relation on Z+ such that (x,y) E R if and only if y is divisible by x. Hint: An integer y is divisible by an integer x with x such that y xk. 0 if and only if there exists an integer k Show transcribed image text

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Answer to 50 Pt 10 Pt Following Relations Determine Whether Relation Reflexive Anti Reflexive Symm Q27398570 . . .

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