Question Video: Finding the Difference of a Set and the Compliment of Another Using Venn Diagrams | Nagwa Question Video: Finding the Difference of a Set and the Compliment of Another Using Venn Diagrams | Nagwa

Question Video: Finding the Difference of a Set and the Compliment of Another Using Venn Diagrams

Using the Venn diagram, find 𝑈 − 𝑋′.

01:10

Video Transcript

Using the Venn diagram, find 𝑈 minus 𝑋 prime.

We can see from the Venn diagram that 𝑈 is the set of the four numbers two, six, seven, and nine. The set 𝑋 contains the numbers inside the circle, seven and nine. The notation 𝑋 prime or 𝑋 bar means the complement of 𝑋. This is all the values that are not contained in 𝑋.

In this question, 𝑋 prime or the complement of 𝑋 contains the values two and six. These are the two numbers that are not in set 𝑋. We need to subtract the complement of 𝑋 from 𝑈. Removing two and six from 𝑈 leaves us with two numbers, seven and nine. 𝑈 minus 𝑋 prime leaves us with set 𝑋, the numbers seven and nine.

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