Answer
$x\geq 2$
Please see image
![](https://gradesaver.s3.amazonaws.com/uploads/solution/e27f7700-1aaa-4ca3-a36e-a8806c937a16/result_image/1562536644.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T021228Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=24ddc6b76ab2b796abbe0df1ec00c46f3b56133bc5d8f91dd24a38696ad6d01a)
Work Step by Step
$ 18+2x\leq 9x+4\qquad$ ...add $-9x$ to each side of the inequality.
$ 18+2x-9x\leq 9x+4-9x\qquad$ ...simplify.
$ 18-7x\leq 4\qquad$ ...add $-18$ to each side of the inequality.
$ 18-7x-18\leq 4-18\qquad$ ...simplify.
$-7x\leq-14\qquad$ ...divide each side of the inequality with $-7$.
...dividing with a negative inverts the inequality sign.
$x\geq 2$
The solutions of the given inequality are all real numbers greater than or equal to $2$.
Use a solid dot in the graph to indicate $2$ is a solution.