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to draw the venn diagram of the complement of a union b you should probably draw yourself a venn diagram for a and b overlapping in the first place iamp;#39;m going to give myself two circles one of them is event a and one of them is event b now the union of these two is anything thatamp;#39;s in either or both of them so what iamp;#39;m highlighting in yellow here is a this is also a so it counts and this is b so it also counts thatamp;#39;s what union means itamp;#39;s either or both of them so iamp;#39;m even going to label this a union b there we go but what we want to do is take the complement of that the complement is the exact opposite what that means is everything that was filled in or shaded here is not shaded in the one below and vice versa so the three sections that were shaded in a union b are now no longer shaded and the area outside of the circles a and b which was not shaded gets shaded so iamp;#39;m just going to roughly do that and iamp;#39;m going to call this