Answer:
Check the image.
Explanation:
First we draw the line 6x-5y=-5 Use the method you prefer, find 2 points or write it in segment form, get it to slope-intercept, any works.
At that point the easiest way to solve it is to plug a convenient point (read: if you can use the origin, you use the origin!) and see if the inequality holds:
which is indeed true. It means that the part of plane that contain 0 is part of the solution. A good way to mark the line is not part of the solution is to keep it dotted instead of solid, or draw it really thin.