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all right welcome back CSE to 15 lecture 3a continuing talking about set theory and I want to introduce a concept which is something called a membership table and a membership table is something that we can use to help us study and learn about identities related to sex and the idea is pretty straightforward so suppose we have two sets a and B well we can form a table as follows so were going to list our two sets a and B and were going to consider any element in the universe okay any element in the universe could be part of a could be part of B might be in both might be in neither okay so given any element X so X is something in our universe there is exactly two possibilities its possible that X is not a member of B or X is a member of B and were going to represent those two possibilities with a 0 and a 1 so if I write a 0 here what Im saying is that theres an element X which does not belong to B but if I write a 1 under the B column Im referring to an element that is a part of