Which is exactly what I meant by "can't pay their rent". What if they don't have a car? What if they have 4 kids? I'd pick rent over college if it meant not living on the streets with my kids. Do people make crappy excuses sometimes? Yes. But that doesn't mean that everyone can do it with hard work. Plenty can, not everyone. For countless possible reasons.
She's got people who do it that way as well. At that point there tends to be aid available, SNAP, public housing, programs to get single mothers through school - though its slow going. No need to raise the minimum wage for everyone for the rare case of "four kids, the desire to go to college, and no college education" - for that case, give aid.
Do we need to pay everyone enough money that they can have say - seven, eight, nine children as a WalMart cashier? That seems a little over the top.