Answer
$\left( -\infty,-1 \right]$
Work Step by Step
Using the properties of inequality, the expression $
4(x-6)+2x-4\ge3(x-7)+10x
$ simplifies to
\begin{array}{l}
4x-24+2x-4\ge3x-21+10x
\\
6x-28\ge-21+13x
\\
6x-13x\ge-21+28
\\
-7x\ge7
\\
x\le-1
.\end{array}
In interval notation, the solution set is $
\left( -\infty,-1 \right]
$.
