Answer:
[tex]x\ge \:-\frac{15}{2}[/tex]
The graph of the inequality is attached below.
Step-by-step explanation:
Given the inequality
[tex]-2x-4\le 11[/tex]
[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]
[tex]-2x-4+4\le \:11+4[/tex]
[tex]-2x\le \:15[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]
[tex]\left(-2x\right)\left(-1\right)\ge \:15\left(-1\right)[/tex]
[tex]2x\ge \:-15[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2x}{2}\ge \frac{-15}{2}[/tex]
[tex]x\ge \:-\frac{15}{2}[/tex]
The graph of the inequality is attached below.
