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Chapter 9: Problem 77

Describe what is meant by the intersection of two sets. Give an example.

Short Answer

Expert verified
The intersection of two sets is a set containing all elements common to both of the sets. For example, if Set A = {1, 2, 3, 4, 5} and Set B = {4, 5, 6, 7, 8}, then the intersection of Set A and Set B, i.e., A 鈭� B, is {4, 5}.

Step by step solution

01

Explaining the Intersection of Two Sets

In set theory, the intersection of two sets A and B, denoted by A 鈭� B, is the set containing all the elements which are common to both sets A and B. It contains only the elements that A and B have in common.
02

Providing an Example

For instance, if we have two sets, Set A = {1, 2, 3, 4, 5} and Set B = {4, 5, 6, 7, 8}, the intersection of Set A and Set B, denoted as A 鈭� B, is {4, 5} because those are the elements common to both sets.

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