Answer
$x\displaystyle \geq-\frac{1}{2}$
Please see image
Work Step by Step
$ 11+8x\geq 7\qquad$ ...add $-11$ to each side of the inequality.
$ 11+8x-11\geq 7-11\qquad$ ...simplify.
$ 8x\geq-4\qquad$ ...divide with $8$.
$x\displaystyle \geq-\frac{1}{2}$
The solutions of the given inequality are all real numbers greater than or equal to $-\displaystyle \frac{1}{2}$.
Use a solid dot in the graph to indicate $-\displaystyle \frac{1}{2}$ is a solution.
