(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.