$x\geq 1$ 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.