Answer
$x\lt\dfrac{8}{3}$
Work Step by Step
Using the properties of inequality, the solution to the given inequality, $
6x+2\lt18
,$ is
\begin{array}{l}\require{cancel}
6x\lt18-2
\\\\
6x\lt16
\\\\
x\lt\dfrac{16}{6}
\\\\
x\lt\dfrac{\cancel{2}\cdot8}{\cancel{2}\cdot3}
\\\\
x\lt\dfrac{8}{3}
.\end{array}