Hypothetical imperatives are conditional principles that apply if one wants to achieve a goal, while categorical imperatives are unconditional moral rules. This distinction could be used to argue that placing violent prisoners in solitary confinement is a hypothetical imperative to maintain safety, but it may violate the categorical imperative of respecting human dignity for all.

1. Explain the difference between hypothetical and categorical
imperatives. How might this distinction be used to explore the
practice of correctional facilities placing violent prisoners in
solitary confinement?
Please use in-text citations and provide references. Seeking a
one-page response.