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Description: Show that these statements about the real number x are equivalent: (i) x is rational, (ii) x/2 is rational, (iii) 3x − 1 is rational.

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Show that these statements about the real number x are equivalent: (i) x is rational, (ii) x/2 is rational, (iii) 3x − 1 is rational.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter7: Real And Complex Numbers

Section7.1: The Field Of Real Numbers

Problem 17E: Prove that if is a nonzero rational number and is irrational, then is irrational.

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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