Solved: Show that these statements about the real number x

Chapter 7, Problem 32E

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QUESTION:

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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QUESTION:

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.

ANSWER:

Solution: Step 1 :We have to prove that the statements about the real number x are equivalent1. x is rational 2. x/2 is rational 3. 3x-1 is rational

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