The board shall, within 10 days after the receipt of the petition, give notice of the hearing at least 10 days prior to the hearing:
(1) by mailing a copy of the notice as provided in 7-1-2122 or as provided in 7-1-4129 if the proposed district or a portion of the proposed district is in an incorporated second-class or third-class city or town to each registered voter and real property owner residing in the proposed district; and
(2) by publishing the notice as provided in 7-1-2121 or as provided in 7-1-4127 if the proposed district or portion of the proposed district is in an incorporated second-class or third-class city or town.