Answer
n>−8

Work Step by Step
You have the inequality n+6$\gt$-2 and you have to solve for n:
n+6>−2⟶ subtract 6 from each side-
n+6−6>−2−6⟶ subtract-
n>−8
Check your work(use a number less than -8):
-7+6 $\gt$-2
-1$\gt$ -2
-The graph has an open circle since -8 is not included in the solution.