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all right in this video were going to cover Cartesian products and Im going to give you a very formal definition for an ordered pair before we start and an ordered pair a B is a set that contains the first element as a singleton in that set and then both elements as a set in that set now this is a definition you would use in later courses for proofs but I dont want to focus on that right now instead I want to focus on it as youve seen it before so for instance weve seen this ordered pair notation when it comes to graphing in high school so for instance the ordered pair 1 2 would mean 1 on the x axis 2 on the y axis and we have this point here at 1 2 4 2 1 of course you would go to on the X 1 on the Y youd end up at this point 2 1 4 negative 2 0 you would go to on the x axis in the left direction 0 up or down and you end up at negative 2 0 but just as a very specific way of representing these points in the set definition lets take 1/2 so with 1/2 this would be the set containi