Notice of adoption of the resolution and of the time and place of holding the meeting shall be given by posting copies of the resolution signed by the members of the board, or by a majority thereof, in three public places in the district not less than 10 days before the date of the meeting, and by publishing the notice once not less than five days before the date of the meeting in a newspaper of general circulation, published in the district, if there is one, or, if there is no such newspaper published in the district, then in a newspaper published in the county in which the district or any part thereof is situated and having a general circulation in the district.