For this case we have the following inequality:
[tex]6r + 17> -1[/tex]
We subtract 17 from both sides of the inequality:
[tex]6r> -1-17[/tex]
Equal signs are added and the same sign is placed.
[tex]6r> -18[/tex]
We divide by 6 on both sides of the inequality:
[tex]r> \frac {-18} {6}\\r> -3[/tex]
Thus, the solution is given by all values of r greater than -3.
Answer:
[tex]r> -3[/tex]
See attached graphic