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3. (a) (5 points) On the set A= R\{0}, let x ~ y if and only if x · y > 0. Is this relation an equivalence relation? Prove yo

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3) a) → A = IR 1do. any if and only if x.y >0. i) Reflexive: Let xtA x70 m . 2.4 - x? >0 ( x 60) in aerox v is reflexive. ü)DNE » Dnc = Enc En F Enc = tno 4. DOC = Ence Foc. - DOC = foc, Dn . is transitive - is an equivallence relation.

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