EXPLANATION:
We are given the following inequality;
[tex]-24\le x-3-8x[/tex]To begin solving this inequality we shall first switch sides as follows;
[tex]x-3-8x\le-24[/tex]We now combine like terms;
[tex]\begin{gathered} x-8x-3\le-24 \\ -7x-3\le-24 \end{gathered}[/tex]Next we add 3 to both sides;
[tex]\begin{gathered} -7x-3+3\le-24+3 \\ -7x\le-21 \end{gathered}[/tex]Next we divide both sides by -7.
At this point we must bear in mind the rule of inequalities such that when we divide by a negative number, the inequality sign flips over.
We now have;
[tex]\frac{-7x}{-7}\ge\frac{-21}{-7}[/tex][tex]x\ge3[/tex]ANSWER:
[tex]x\ge3[/tex]