Question: With justification means that for example if the relation satisfies (i), then you need to prove it. If the relation doesn't satisfy (i), you need

With justification means that for example if the relation satisfies (i), then you need to prove it.

If the relation doesn't satisfy (i), you need to give one counterexample.

Determine(with justification) whether the given relation is (i) reflexive, (ii) symmetric, or (iii) transitive. (a) (5 pts) Let X be a nonempty set. S = {UU C X,U + 0} = P(X) \\ {}. R is defined to be the relation from S to S as following: (U1, U2) E Riff UInU2 + 0

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