Inequality

Let's solve this!

$k^2-7k+12.25>0$

$\left(k-3.5\right)^2>0$

$k-3.5<0\quad \mathrm{or}\quad \:k-3.5>0$

$\begin{bmatrix}\mathrm{Solution:}\:&\:k<3.5\quad \mathrm{or}\quad \:k>3.5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:3.5\right)\cup \left(3.5,\:\infty \:\right)\end{bmatrix}$

Hope this helps!