Let A = {a, b, c}. Give an example of a relation on A that is
(a) antisymmetric and symmetric.
(b) antisymmetric, reflexive on A, and not symmetric.
(c) antisymmetric, not reflexive on A, and not symmetric.
(d) symmetric and not antisymmetric.
(e) not symmetric and not antisymmetric.
(f) irreflexive on A and not symmetric.
(g) irreflexive on A and not antisymmetric.
(h) antisymmetric, not reflexive on A, and not irreflexive on A.
(i) transitive, antisymmetric, and irreflexive on A.
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