Mathematics, 02.04.2022 14:00, marly032205

1. The operation © is defined on the set S = {a, b,c}, as shown in the following table. For example, a©b=b and b © a=b ,c ©a=c. a a. Is S closed with respect to ©? b. Is © commutative on set S? c. Is there an identity for © on S? If yes, what is it? d. Is © associative on S? 2. Give a set that is not closed under addition. 3. Is the set of whole numbers commutative under subtraction? If not, give a counter example.

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1. The operation © is defined on the set S = {a, b,c}, as shown in the following table. For example,...