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Use Exercise 25 to provide a proof different from that in
Chapter 2, Problem 26E(choose chapter or problem)
Use Exercise 25 to provide a proof different from that in the text that the set of rational numbers is countable. [Hint: Show that you can express a rational number as a string of digits with a slash and possibly a minus sign.]
Questions & Answers
QUESTION:
Use Exercise 25 to provide a proof different from that in the text that the set of rational numbers is countable. [Hint: Show that you can express a rational number as a string of digits with a slash and possibly a minus sign.]
ANSWER:SolutionIn this question we have to prove that set of rational numbers is countable.Step 1 Proof : Let Q be the set of rational numbers So, Q containing every rational number.At first by arranging the positive rational numbers we construct the d