We have the next inequality
[tex]-2(x-5)-12\le4+6(x+3)[/tex][tex]-2x+10-12\le4+6x+18[/tex][tex]-2x-2\le6x+22[/tex][tex]\begin{gathered} -2x-6x\le22+2 \\ -8x\le24 \end{gathered}[/tex]
we need to clear x because we have a negative number the sign of the inequality will change
[tex]\begin{gathered} x\ge\frac{24}{-8} \\ x\ge-3 \end{gathered}[/tex]
as we can see the mistake was option c.
