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in this video were going to look at some practice questions under set theory to just simplify the sets that weve been given so ive got a number of questions to help us understand the basic concepts on how to simplify then also not forgetting a part where we get to look at proving or simplifying sets that involve disjoint sets okay so lets start express the following in their simplest form so basically we have a complement outside the brackets there so were supposed to distribute that complement so the p complement there is going to be what is going to be p so whenever you have a complement of a complement remember the original complement means outside that given set so now if you say outside the given set then again you say outside of it it is going to be the set itself so a complement of a complement will cancel out so a complement of p complement is just going to be p then we understand that from de morgans laws were able to see that the sign changes whenever you redistribute