Answer:
A.
[tex]$\left[-\frac{13}{2},\infty \right)$[/tex]
Step-by-step explanation:
Inequality given:
[tex]11\leq 6(n+4)-4n[/tex]
[tex]11\leq 6n+24-4n[/tex]
[tex]11\leq 2n+24[/tex]
[tex]11-24\leq 2n+24-24[/tex]
[tex]-13\leq 2n[/tex]
[tex]$\frac{-13}{2} \leq n$[/tex]
Interval Notation:
[tex]$\left[-\frac{13}{2},\infty \right)$[/tex]
We have:
[tex]$\{n \in \mathbb{R}:n\geq \frac{-13}{2} \}$[/tex]
