The Board of Supervisors of the District shall warn all annual and special meetings of the District by filing a notice thereof with the Clerk of the District, who, in turn, shall file a copy of the notice thereof with the clerk of each member municipality who shall post a copy of the notice thereof in at least three public places within his or her municipality not less than 30 nor more than 40 days prior to the meeting. In addition, the Clerk of the District shall cause the warning to be published in a newspaper of general circulation within each member municipality once a week for three consecutive weeks on the same day of the week prior to the meeting, the last publication thereof to be not less than five nor more than 10 days prior to the date of the meeting.