Question: Are the following sets closed under the given operations? Answer yes or no. If the answer is no, please specify what the closure is. (1)

Are the following sets closed under the given operations? Answer yes or no. If the answer is no, please specify what the closure is.

(1) The negative integers under subtraction.

(2) The odd integers under remainder, mod 3.

(3) The positive integers under exponentiation.

(4) The finite sets under Cartesian product.

(5) The rational numbers under addition.

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