A person who wants to have the person's name printed on the ballot as a candidate for director must file with the board secretary a petition requesting that action. The petition must:
(1) be signed by at least 10 registered voters who reside in the district;
(2) be filed at least 31 days before the date of the election; and
(3) specify the county commissioners precinct the candidate wants to represent or specify that the candidate wants to represent the district at large.