Non- is used in front of adjectives and nouns to form adjectives that describe something as not having a particular quality or feature.
Non- is used in front of nouns to form nouns which refer to situations where a particular action has not or will not take place.
He was disqualified from the council for ~attendance...
Both countries agreed that normal relations would be based on ~interference in each other’s internal affairs.
Non- is used in front of nouns to form nouns which refer to people who do not belong to a particular group or category.
Children of smokers are more likely to start smoking than are children of ~smokers.