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Chapter 9: Problem 81

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

Short Answer

Expert verified
The union of two sets, A and B, is a new set that contains all the elements that are found in either set A, set B, or in both. For example, if we have two sets, A = {1, 2, 3} and B = {2, 3, 4}, the union of these sets, represented by A 鈭� B, would be {1, 2, 3, 4}

Step by step solution

01

Define Union of Sets

In the context of set theory, the union of two sets, A and B, is a set that contains all the elements that are in A, in B, or in both. This is usually represented as A 鈭� B.
02

Give an Example

Now, let's provide an example to illustrate this. Suppose we have two sets, A = {1, 2, 3} and B = {2, 3, 4}. The union of two sets A and B is then the set A 鈭� B = {1, 2, 3, 4}, which includes all elements that are present in either A, B, or both.

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