Determine whether the relation R on the set of all integers is reflexive, symmetric, antisymmetric, and/or...

  

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Determine whether the relation R on the set of all integers is reflexive, symmetric, antisymmetric, and/or transitive, where (x, y) R if and only if a) x = y. b) xy 2 1. c) x = y + 1 orx = y 1. d) x=y (mod 7). e) x is a multiple of y. f) xand y are both negative or both nonnegative. g) x = y. h) x y. Determine whether the relation R on the set of all integers is reflexive, symmetric, antisymmetric, and/or transitive, where (x, y) R if and only if a) x = y. b) xy 2 1. c) x = y + 1 orx = y 1. d) x=y (mod 7). e) x is a multiple of y. f) xand y are both negative or both nonnegative. g) x = y. h) x y.