Answer
$x\gt-5$
Work Step by Step
Using the properties of inequalities, the solution to the given inequality, $
8x-1\gt4x-21
,$ is
\begin{array}{l}\require{cancel}
8x-4x\gt-21+1
\\\\
4x\gt-20
\\\\
x\gt-\dfrac{20}{4}
\\\\
x\gt-5
.\end{array}