Answer
$x\geq 1$
Please see image
Work Step by Step
$ 4x-8\geq-4\qquad$ ...add $8$ to each side of the inequality.
$ 4x-8+8\geq-4+8\qquad$ ...simplify.
$ 4x\geq 4\qquad$ ...divide with $4$.
$x\geq 1$
The solutions of the given inequality are all real numbers greater than or equal to $1$.
Use a solid dot in the graph to indicate $1$ is a solution.