Answer
$|x-1.4|\le0.1$
Work Step by Step
Half-way between the given values, $
1.3\text{ and } 1.5
,$ is
\begin{array}{l}\require{cancel}
\dfrac{1.3+1.5}{2}
\\\\=
\dfrac{2.8}{2}
\\\\=
1.4
.\end{array}
The distance of $
1.4
$ from $1.3$ and $1.5$ is $
0.1
.$
Since $|x|\lt c$ implies $-c\lt x\lt c$ (or $|x|\le c$ implies $-c\le x\le c$), then the given inequality, $
1.3\le h \le 1.5
,$ is equivalent to
\begin{array}{l}\require{cancel}
|h-1.4|\le0.1
.\end{array}
