[tex]Solution, -2n-7\ge \:41\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-24\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-24]\end{bmatrix}[/tex]
[tex]Steps:[/tex]
[tex]\mathrm{Add\:}7\mathrm{\:to\:both\:sides}, -2n-7+7\ge \:41+7[/tex]
[tex]\mathrm{Simplify}, -2n\ge \:48\\\\[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}, \left(-2n\right)\left(-1\right)\le \:48\left(-1\right)[/tex]
[tex]\mathrm{Simplify}, 2n\le \:-48[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2, \frac{2n}{2}\le \frac{-48}{2}[/tex]
[tex]\mathrm{Simplify}, n\le \:-24[/tex]
The correct answer is [tex]n\le \:-24[/tex]
I hope this helps!!!
