Question: PLEASE ANSWER ALL! Problem2 State the mathematical formulation of the following The set of rational numbers Q is closed under + (addition) Prove the following:

PLEASE ANSWER ALL!

Problem2 State the mathematical formulation of the following The set of rational numbers Q is closed under + (addition) Prove the following: . The set of rational numbers is closed under . The set of non-rational numbers (i.e. all real numbers excluding the rational numbers) is not closed under Note: pay attention to the quantifiers

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