I'm gonna pretend to know you for a moment, so tell me if I'm wrong. You've either never been poor (no meaningful savings, plus debt, plus earning less than ten an hour, while living alone or with one or a few other people with similar earning capacity), or you're so indoctrinated into that line of political thought that you're immune to all opposing evidence and arguments.
$20 per hour at 40 hours with only two weeks off per year is 40k, and that's pre-tax. A person can live comfortably but modestly on that income. $10/hr is 20k, pre-tax. Unless they have several room mates, nobody can live on 20k without at least occasional assistance (suckin' on a teat) from either family or government. Even with several room mates, on $20k it's basically impossible to save, so all it takes is one disaster (injury, car wreck, whatever) and that person is completely fucked unless they can fall back on family or government.
Bottom line: unless you think people "deserve" to be dependent on handouts to survive, people "deserve" $10-15/hr wages at a minimum. Business leaders get off on maximizing profits so we can all rest easy knowing that nobody would be getting paid that much to flip burgers, at least not for very long. Those positions would be automated, consolidated, or whatever it would take to make them profitable. Unemployment might rise for a time but, as conservatives just love to point out, the market is self-correcting over the long term.