I don't understand why the breaking point inequality holds for the positive rays or positive intervals .

For instance, it seems to me that no set of 3 real points can be shattered by a positive ray, since at least always the [cross, circle, cross] dichotomy cannot be achieved, no matter how large

is, so

would be a breaking point and

, which is obviously not true for

since the real growth function is

.

I understand that to be a breaking point, we need that

*no* set of size k can be shattered, am I failing to imagine such set or did I misunderstand some of the definition?