Answer
$x\lt-1$
Work Step by Step
Using the properties of inequalities, the solution to the given inequality, $
7x-2\lt3x-6
,$ is
\begin{array}{l}\require{cancel}
7x-3x\lt-6+2
\\\\
4x\lt-4
\\\\
x\lt-\dfrac{4}{4}
\\\\
x\lt-1
.\end{array}