(a) Let the relation R= {(x, y): lx-yl-1, x, y ER}. With the proper explanation check, whether the relation R is reflexive, symmetric, antisymmetric and transitive? Is it an equivalence relation?
(b) Let R and S be the relation defined on a set X, then answer the below given statement in true or false with proper justification/counter-example:
If R and S are antisymmetric, then R US is antisymmetric.
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