Answer
$-0.2\geq b$
Work Step by Step
$3.8\geq b+4\longrightarrow$ subtract 4 from each side
$3.8-4\geq b+4-4\longrightarrow$ subtract
$-0.2\geq b$
Check the endpoint.
$3.8\overset?=-0.2+4$
$3.8=3.8\checkmark$
Check the inequality.
$3.8\overset?\geq-2+4$
$3.8\geq 2\checkmark$
Since -0.2 is included in the solution, the endpoint of the graph is a solid circle.