Answer
$\left[ 0,\infty \right)$
Work Step by Step
Using the properties of inequality, the expression $
-5x+4\le-4(x-1)
$ simplifies to
\begin{array}{l}
-5x+4\le-4x+4
\\
-5x+4x\le4-4
\\
-x\le0
\\
x\ge0
.\end{array}
In interval notation, the solution set is $
\left[ 0,\infty \right)
$.