13. Let S be the statement: The product of any irrational number and any nonzero rational number is irrational. a. Write a negation for S. Answer + Negation for S: There exist an irrational number and...


13. Let S be the statement: The product of any irrational number and any nonzero rational number<br>is irrational.<br>a. Write a negation for S.<br>Answer +<br>Negation for S: There exist an irrational number and a nonzero rational number whose product is<br>rational.<br>b. Prove S by contradiction.<br>

Extracted text: 13. Let S be the statement: The product of any irrational number and any nonzero rational number is irrational. a. Write a negation for S. Answer + Negation for S: There exist an irrational number and a nonzero rational number whose product is rational. b. Prove S by contradiction.

Jun 11, 2022
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