Question: (a) Rephrase the definitions for the reflexive, symmetric, transitive, and antisymmetric properties of a relation R (on a set A), using quantifiers. (b) Use the

(a) Rephrase the definitions for the reflexive, symmetric, transitive, and antisymmetric properties of a relation R (on a set A), using quantifiers.
(b) Use the results of part (a) to specify when a relation R (on a set A) is
(i) Not Reflexive;
(ii) Not symmetric;
(iii) Not transitive; and
(iv) Not antisymmetric.

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a The relation R on the set A is i Reflexive if x Ax x R ii Symmetric if x y A x y R y ... View full answer

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