Question: PLease give counterexamples where the statement is false. (a) Is the set of natural numbers closed under division? (b) Is the set of rational numbers

PLease give counterexamples where the statement is false.

(a) Is the set of natural numbers closed under division? (b) Is the set of rational numbers closed under division? (c) Is the set of nonzero rational numbers closed under division? (d) Is the set of positive rational numbers closed under division? (e) Is the set of positive real numbers closed under subtraction? (f) Is the set of negative rational numbers closed under division? (g) Is the set of negative integers closed under addition?

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