(1) The library board of directors shall make and adopt rules and regulations not inconsistent with law, for the governing of the library. Subject to such rules and regulations, the library shall be free to the use of the inhabitants of the City.

(2) The board may exclude from the use of the library any and all persons who shall willfully violate such rules.

(3) The board may extend the privileges and use of the library to persons residing outside of the City on such terms and conditions as it may prescribe by its regulations.