Question

A relation R 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. Let A = {0, 1, 2, 3}, and define a relation R2 on A as follows. R2 = (0, 0), (0, 1), (1, 1), (1, 2), (2, 2), (2, 3) Is R2 irreflexive, asymmetric, intransitive, or none of these? (Select all that apply.) R2 is irreflexive. R2 is asymmetric. R2 is intransitive. R2 is neither irreflexive, asymmetric, nor intransitive.

Answer 1

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