yes, it would. it will increase demand in the long run, since the poor will be spending at the new minimum wage level.
The poor that have jobs, that is. There would be fewer that actually have jobs at the higher wage.
There would be fewer working for slave wages if the minimum wage is higher.
There would be fewer working, period. The only question is how many fewer. Obviously, a higher MW kills jobs. Doubt it? Set it to $100/hr and ask what would happen. Now, you CAN have a MW that doesn't kill too many jobs all at once, but you have to keep it low enough that it really doesn't make much of a difference. We have already lost a lot of low end jobs to higher costs, but as long as the pace is gradual enough, not too many complain.
who cares, if those not employed can opt for unemployment compensation?
Why presume fewer would be working?
Why presume raising the minimum wage would be inflationary?
Those who are not employed and have been displaced can receive UE, but not for ever. They must provide evidence that they are looking for a job, and the period of time under which UE insurance lasts can expire before a displaced person, especially in a slow economy, or worse, a recession. can secure employment.
Even when the do, the likelihood in such an economy is that they will make less and have fewer, if any, benefits. The consequences impact communities for decades (See: Roger and Me, here for a graphic example)
Roger & Me (1989) - Plot Summary - IMDb
BTW, simple explanations and simple solutions to the issue of MW & UE Insurance,
Welfrare and other aspects of the economy are based on ignorance and biases, promulgated by the power elite who benefit by those who suffer and, or, exploited.