Single elimination brackets are the most frequently used brackets in tournaments. In a single elimination bracket, players or teams are matched against each other and the winner of the match is advanced to the next round while the loser of that same match is eliminated from the bracket.
In a double elimination bracket, players or teams teams have to lose twice to be eliminated from the bracket. Losers of one match get a chance to come back in the Loser's bracket.
Watch this short video tutorial on Elimination Brackets