Answer
$-6\geq b$
Work Step by Step
$-1\geq 5+b\longrightarrow$ subtract 5 from each side
$-1-5\geq5+b-5\longrightarrow$ subtract
$-6\geq b$
Check the endpoint.
$-1\overset?=5+(-6)$
$-1=-1\checkmark$
Check the inequality.
$-1\overset?\geq5+(-8)$
$-1\geq-3\checkmark$
Since -6 is included in the solution, the endpoint of the graph is a solid circle.