WEBVTT
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If the universal set π is the set that includes elements six, 10, seven, zero, and three and π is the set with elements zero and three, what is the complement of π?
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So first, weβre told that we have a universal set.
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And the universal set includes all of the elements.
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And it includes all of the subsets including itself.
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And it has elements six, 10, seven, zero, and three.
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So letβs start to draw a Venn diagram.
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We know that π is the universal set.
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So it should include all elements.
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So this should be the biggest thing that we have.
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And before we begin writing them, letβs look at this subsets, the smaller sets.
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We have a set π and it includes zero and three.
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And zero and three will also be found in the universal set because it includes all of the elements.
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So we need to put it inside of the box.
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So now that weβve done that, we need to write the rest of the elements of π inside of the box, six, 10, and seven.
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So we want to know what is the complement of π.
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And a complement of a set includes all elements that are not in the set.
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So which elements are actually not in π?
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Well, we can see π hold the elements zero and three.
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So the only ones that are not in that would be elements six, 10, and seven.
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And the order that we write these elements does not matter.
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So this will be our final answer.