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  3. 4 determine whether each of the following is true

4 Determine whether each of the following is true or false i 5 EN ii...

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4 Determine whether each of the following is true or false i 5 EN ii 0 0 iii If A B then AUB nA B ii Compute c b a b C a a a a b a b C 5 The multiplication table above is defined on the set S a b c Is a binary operation on S Explain why or why not i C a C b iii Does S have an identity with respect to If so what is it If not explain why not iv Which elements are invertible For each such element state its inverse v Is commutative in S Why or why not vi Let T be the set of invertible elements in S Determine if T is a group a mc that is not a group a semigroup that is not a monoid or not a semigroup Explain

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