Ask around. See how easy it is to get a job. Even low-paying ones.
Obviously, this depends on the sector, willingness to relocate, etc. But it’s a tough market out there, and a lot of otherwise hard-working, intelligent people are stuck.
Not everybody can relocate, that is true. But everybody is capable of increasing their personal skill set, as they have the time to do so.
Want to reduce poverty, that’s where it needs to be done. Just arbitrarily increasing the minimum wage only makes it more difficult for the bottom to find jobs, and it’s a shell game.