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

Chapter 7, Problem 10

(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 \(U=\{x \in \mathbf{R} \mid 0<x<2\}\). Prove that S and U have the same cardinality.

Text Transcription:

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

U={x in mathbf R mid 0<x<2}