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Chapter 9: Problem 36

Find the union of the sets. $$\\{0,1,3,5\\} \cup\\{2,4,6\\}$$

Short Answer

Expert verified
The union of sets \(\{0,1,3,5\}\) and \(\{2,4,6\}\) is \(\{0,1,2,3,4,5,6\}\).

Step by step solution

01

Understand the concept of union

The union of two sets is a set containing all the elements of both sets. It is denoted by the symbol '鈭�'. Any element that exists in either of the two sets or in both sets belongs to the union of these sets.
02

List all elements of the first set

Write down all the distinct elements of the first set. In this case, elements of the first set are 0, 1, 3, and 5.
03

List all elements of the second set

Write down all the distinct elements of the second set. Here, elements of the second set are 2, 4, and 6.
04

Combine all listed elements

Combine all the elements listed in step 2 and step 3 to form a bigger set. Here, the combined list of elements will be 0, 1, 3, 5, 2, 4, and 6. However, in a bigger set or union, the elements are usually written in ascending numeric order. So, the final union of both sets would be \(\{0,1,2,3,4,5,6\}\).

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