The following definitions are used: a relation on a set a is defined to be irreflexive if, and only if, for every x a, x r x; asymmetric if, and only if, for every x, y a if x r y then y r x; intransitive if, and only if, for every x, y, z a, if x r y and y r z then x r z. determine whether the relation is irreflexive, asymmetric, intransitive, or none of these. (select all that apply.) r2