Answer
$n\gt-8$

Work Step by Step
$n+6\gt-2\longrightarrow$ subtract 6 from each side
$n+6-6\gt-2-6\longrightarrow$ subtract
$n\gt-8$
Check the inequality.
$-7+6\overset?\gt-2$
$-1\gt-2\checkmark$
Since -8 is not included in the solution, the endpoint of the graph is an open circle.