Question Video: Performing Operations on Sets Using Venn Diagrams Mathematics

Using the Venn diagram, find 𝑋 ∩ π‘Œ bar.

01:30

Video Transcript

Using the Venn diagram, find the intersection of 𝑋 and π‘Œ bar.

Let’s begin by defining some of the notation in this question. The little 𝑛 symbol means the intersection or and. We’re trying to find the set of values that are in 𝑋 and in π‘Œ bar. π‘Œ bar, sometimes written π‘Œ prime, means the complement of π‘Œ. This is all the values that are not in set π‘Œ.

The values in set 𝑋 are two, four, five, and seven. The values in set π‘Œ are four, five, six, and nine. This means that the set of values not in π‘Œ are one, two, three, seven, and eight. This is the complement of π‘Œ.

We need the set of values that are in 𝑋 and in the complement of π‘Œ. Only two numbers appear in both sets, two and seven. The intersection of 𝑋 and π‘Œ bar is two and seven. These are the values that are in set 𝑋 and also not in set π‘Œ.

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