# Chapter 1 - Section 1.5 - Linear Inequalities in One Variable - 1.5 Exercises: 57

$\left( 0,1 \right)$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the concepts of inequalities to translate the given description, \begin{array}{l}\require{cancel}\text{ a number is between $0$ and $1$ },\end{array} into symbols. Express the solution set in interval notation. $\bf{\text{Solution Details:}}$ A number between $0$ to $1$ includes all numbers from $0$ to $1,$ excluding $0$ and $1.$ In symbols, this is equivalent to \begin{array}{l}\require{cancel} 0\lt x \lt 1 .\end{array} In interval notation, the solution set is $\left( 0,1 \right) .$

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