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Prove that every dense subset S of R has infinitely many elements between $0$ and $1$. Hint: Make proof by contradiction.

Prove that every dense subset S of R has infinitely many elements between $0$ and $1$. Hint: Make proof by contradiction.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 5E
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Prove that every dense subset S of R has infinitely many elements between $0$ and $1$. Hint: Make proof by contradiction.
Transcribed Image Text:Prove that every dense subset S of R has infinitely many elements between $0$ and $1$. Hint: Make proof by contradiction.
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