Prove each true statement directly from the definitions

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Question: Determine which of the statements are true and which are false. Prove each true statement directly from the definitions, and give a counterexample for each false statement. In case the statement is false, determine whether a small change would make it true. If so, make the change and prove the new statement. Follow the directions for writing proofs.

The product of any two rational numbers is a rational number.

Reference no: EM131568910

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