Answer
$(-\infty,14)$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To solve the given inequality, $
\dfrac{5x-6}{8}\lt8
,$ use the properties of inequality.
For the interval notation, use a parenthesis for the symbols $\lt$ or $\gt.$ Use a bracket for the symbols $\le$ or $\ge.$
For graphing inequalities, use a hollowed dot for the symbols $\lt$ or $\gt.$ Use a solid dot for the symbols $\le$ or $\ge.$
$\bf{\text{Solution Details:}}$
Using the properties of inequality, the inequality above is equivalent to
\begin{array}{l}\require{cancel}
8\cdot\dfrac{5x-6}{8}\lt8\cdot8
\\\\
5x-6\lt64
\\\\
5x\lt64+6
\\\\
5x\lt70
\\\\
x\lt\dfrac{70}{5}
\\\\
x\lt14
.\end{array}
The red graph is the graph of the solution set.
In interval notation, the solution set is $
(-\infty,14)
.$