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all right so this is the first question in this tutorial this is the first question saying uh given that x and y are disjoint sets simplify x complements in your y complement so when you talk of uh or when you talk about disjoint uh sets uh were simply talking about sets that have no intersection sets that have no intersection what do i mean let me just draw something here okay yeah so if for instance i have this uh this venn diagram i will draw two sets there x and y so you can see this is my x and then this is my y so you have two sets there so for talking about two disjoint sets meaning they have no intersection so when you look at these two sets here they are disjoint so now let us try to solve this one here which is saying uh simplify x complement union y complement so in other words this x complement union y complement can also be written as x intersection y then you put everything in brackets and then there you put your complement some of you might be asking yourselves why hav