The board of directors, at the time and place mentioned in the notice or at the time or times to which the hearing of said petition or resolution may have been adjourned, shall proceed to hear and consider any written objections which may have theretofore been filed by any person interested, to said petition or resolution for exclusion, and arguments, if any, by persons interested, in support or opposition to said petition or resolution.
NMS § 73-9-49