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) For each of the following statements, determine whether it is true or false. If you answer (P1, Page 10, " false", then justify it, for example, by giving a counterexample etc. (a) The set of irrational numbers is inductive. (b) The set of squares of rational numbers is inductive. (c) The sum of irrational numbers is irrational.

) For each of the following statements, determine whether it is true or false. If you answer (P1, Page 10, " false", then justify it, for example, by giving a counterexample etc. (a) The set of irrational numbers is inductive. (b) The set of squares of rational numbers is inductive. (c) The sum of irrational numbers is irrational.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. (P1, Page 10, " false", then justify it, for example, by giving a counterexample etc. ) For each of the following statements, determine whether it is true or false. If you answer (a) The set of irrational numbers is inductive. (b) The set of squares of rational numbers is inductive. (c) The sum of irrational numbers is irrational. (d) The product of irrational numbers is irrational.
Transcribed Image Text:1. (P1, Page 10, " false", then justify it, for example, by giving a counterexample etc. ) For each of the following statements, determine whether it is true or false. If you answer (a) The set of irrational numbers is inductive. (b) The set of squares of rational numbers is inductive. (c) The sum of irrational numbers is irrational. (d) The product of irrational numbers is irrational.
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