At the lower range of the wage scale, businesses have so much leverage over workers that they can suppress wages under competitive market rates. Because of this, an appropriately priced minimum wage doesn’t hurt employment, and actually increases it because more people are willing to work for that higher wage and they are less likely to quit.
The increase in wages results in higher prices and lower profits. The higher prices do not cancel out the wage growth with inflation because only a minority of the cost of all the goods and services people buy are from people who make near the minimum wage.