Answer
$x\geq-7$
Please see image
![](https://gradesaver.s3.amazonaws.com/uploads/solution/6694fd12-eb24-4c5e-a9a9-8019255e75ce/result_image/1562280042.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T001953Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=e7846cb05d68d9bc86bca2e960f4ed3f00c3e5137afcaf349cc09a2579e13512)
Work Step by Step
$ 5x-7\leq 6x\qquad$ ...subtract $5x$ from each side.
$ 5x-5x-7\leq 6x-5x\qquad$ ...simplify.
$-7\leq x$
...we can write this as
$x\geq-7$
The solutions of the given inequality are all real numbers greater or equal to $-7$.
Greater numbers are to the right of $-7$.
Use a solid dot in the graph to indicate $-7$ is a solution.