Answer
the range (3.45,3.55)
Work Step by Step
Substituting $x_T=3.5$ in the expression $|x_T-x|$, then the acceptable measured values, $x$, with an absolute error of less than $0.05$ is
\begin{array}{l}\require{cancel}
|3.5-x|\lt0.05
\\\\
-0.05\lt 3.5-x\lt0.05
\\\\
-0.05-3.5\lt 3.5-x-3.5\lt0.05-3.5
\\\\
-3.55\lt -x\lt-3.45
\\\\
3.55\gt x\gt3.45
\\\\
3.45\lt x\lt3.55
.\end{array}
The acceptable measured values is $\text{
the range (3.45,3.55)
}.$
