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NE ii Compute y o z W Z W W x y 1 The multiplication table above is defined on the set S x y

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NE ii Compute y o z W Z W W x y 1 The multiplication table above is defined on the set S x y z w i Is S closed under Explain why or why not Z iii Does S have an identity with respect to o If so what is it If not explain why not iv Is S o a group If so write down the inverse of each element If not name th elements that are not invertible y Iso commutative in S Why or why not

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