The answer to this question is not as clear-cut as one might think. While some Family Dollar stores may sell fake nails, others may not.
Additionally, it is difficult to say definitively whether or not all Family Dollar stores sell fake nails.
It is important to note that fake nails can be dangerous. They can cause infection, and can even lead to structural damage to the nails. If you are concerned that you may have purchased fake nails, it is important to take action.
You can contact the police or the Consumer Product Safety Commission (CPSC) to report the matter. Additionally, you may want to speak to a lawyer to see if you have any legal recourse.