Answer
$\left( 0,1 \right)$
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)
.$