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Chapter 9: Problem 33

Find the union of the sets. $$\\{1,2,3,4\\} \cup\\{2,4,5\\}$$

Short Answer

Expert verified
The union of the given sets is \( \{1,2,3,4,5\} \).

Step by step solution

01

Identify the Elements of the Sets

The two given sets are \( \{1,2,3,4\} \) and \( \{2,4,5\} \). The elements in the first set are 1, 2, 3, and 4. The elements in the second set are 2, 4, and 5.
02

Perform the Union Operation

To perform the union operation, which is denoted as \( \cup \), gather all the unique elements from both sets. If an element is present in either or both of the sets, it will be included in the result.
03

Write Down the Result

After performing the union operation, the resulting set contains all unique elements from both input sets: \( \{1,2,3,4,5\} \).

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