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  3. let ? be the relation on p(z) defined by a ? b if

Let ? be the relation on P(Z) defined by A ? B if and only...

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Advance Math

Let ? be the relation on P(Z) defined by A ? B if and only ifthere is a bijection f : A ? B. (a) Prove or disprove: ? isreflexive. (b) Prove or disprove: ? is irreflexive. (c) Prove ordisprove: ? is symmetric. (d) Prove or disprove: ? isantisymmetric. (e) Prove or disprove: ? is transitive. (f) Is ? anequivalence relation? A partial order?

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