Answer
$x\geq-7$
Please see image
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.