1 Assuming that xy x y 1 and xy xy x y are two binary...

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1 Assuming that xy x y 1 and xy xy x y are two binary operations defined for all x y ER i prove that oth and are commutative ii prove that both and are associative iii prove that is distributive with respect to iv verify if and have neutral elements v decide which numbers x ER have their inverse elements with respect to and and which do not

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