No that's not what was being discussed, it's what you wanted to discuss. Do you understand where or why the numbers $30k and three dependsnts were used? I suspect not because you were arguing against a point no one was making
The context of the discussion is that the majority of people who are at or near the poverty line are still poor even though they have jobs.
The context of those peoples' lives is absolutely relevant to that discussion, as that is what determines "poverty".
A single-income home that makes $30k (roughly the poverty threshold for a 4-person house) that has one person in it versus four people in it is a vastly different quality of life.
That same person isn't going to suddenly make $12k just because he doesn't have 3 dependents, so his $30k income actually becomes sufficient.
Being poor while employed is a choice. That's what you don't seem to be able to understand. Of course, I don't typically expect bleeding hearts to understand that kind of thing, so whatever.