Answer
$k\lt12$
Work Step by Step
$8\gt\frac{2}{3}k$
Mulitply both sides by $\frac{3}{2}$
$\frac{3}{2}\times8\gt\frac{2}{3}k\times\frac{3}{2}$
$\frac{24}{2}\gt k$
$12\gt k$
Let's check
let $k=9$
$8\gt\frac{2}{3}(9)$
$8\gt\frac{18}{3}$
$8\gt6$