What binary relation is neither symmetric, nor asymmetric nor antisymmetric? – math.stackexchange.com

What binary relation is neither symmetric, nor asymmetric nor antisymmetric? – math.stackexchange.com

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I thought it was the relation $\varnothing$, but the answer in the textbook I am using does not mention this as a possible answer. I don't understand why it can't be the answer. Could anyone explain?

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