Video Transcript
Use the given Venn diagram to find the complement of π union π union π.
Well, in this question, the first thing we wanna take a look at is the notation and what it means. Well, we can see that weβve got π union π union π. So we have this U, and what this U means is, as Iβve said, union. But what this can also mean is or. So we could think of it as π or π. So, for instance, in our example, weβd have π or π or π. Then the other bit of notation weβve got is here a bar. And this bar is on top. So in our example, weβve got the bar above the π union π union π. But what does this mean? Well, if weβve got π bar and this means the complements of π, so this means not π. So weβre gonna be looking for the set of values that are not in the set π.
So therefore, for this question, we could think of the complement of π union π union π as the set of values that are not in π or π or π. So, first of all, if weβd look at the set of values that are in π union π union π, then these would be zero, one, two, three, five, seven, nine, 10, 11. And Iβve circled them in pink here. So therefore, if you want to find the complement of π union π union π, so, as weβve said, the set of values not in π or π or π, then this is gonna be the set eight, six.
