Answer: In 1014, S denotes the set of real numbers strictly between 0 and 1. That is, S

Chapter 7, Problem 12

(choose chapter or problem)

In 10–14, S denotes the set of real numbers strictly between 0 and 1. That is, \(S=\{x \in \mathbf{R} \mid 0<x<1\}\).

Let a and b be real numbers with a < b, and suppose that \(W=\{x \in \mathbf{R} \mid a<x<b\}\). Prove that S and W have the same cardinality.

Text Transcription:

S={x in mathbf R mid 0<x<1}

W={x in mathbf R mid a<x<b}