California Code, Education Code - EDC § 19432

(a) The supervising board of supervisors, at its option, may conduct a public hearing on a petition or resolution filed pursuant to Section 19431.  Notice of the hearing shall be published pursuant to Sections 6060 and 6061.  At the hearing, any interested person shall be given an opportunity to present his or her views on the proposal.  At the conclusion of the hearing, the supervising board of supervisors may increase the board of library trustees to a five member board.

(b) If the board of library trustees is increased from three to five members, the supervising board of supervisors shall appoint the two additional trustees from the district at large, and the trustees shall classify themselves by lot so that their terms shall expire as provided in subdivision (b) of Section 19423.