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