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Question: intro to abstract mathematics...

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Intro to Abstract Mathematics

1. Let 3Z denote the set of all integers divisible by 3. (a) Show that 3Z is closed under the usual operations of addition and multiplication. (b) Consider the five properties satisfied by Z with its standard oper- ations of addition and multiplication. Determine whether 3ZZ with its standard operations of addition and multiplication satisfies these properties.

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