Answer
$ k\lt 6$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 4k-16\lt k+2$
Add $16-k$ to each side.
$\Rightarrow 4k-16+16-k\lt k+2+16-k$
Simplify.
$\Rightarrow 3k\lt 18$
Divide each side by $3$.
$\Rightarrow \frac{3k}{3}\lt \frac{18}{3}$
Simplify.
$\Rightarrow k\lt 6$
Hence, the solution is $ k\lt 6$.
Use an open circle because $6$ is not a solution.
Shade the number line on the left side.
