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Chapter 0: Problem 32

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

Short Answer

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

Step by step solution

01

Identify Elements in First Set

The first set includes the elements \( \{0,1,3,5\} \).
02

Identify Elements in Second Set

The second set includes the elements \( \{2,4,6\} \).
03

Combine All Unique Elements

The union of these two sets, denoted by \( \cup \), is all the unique elements from both sets. This means combining both sets of elements and listing them once, regardless if they appeared in both set 1 and set 2. In this case, none of the elements are repeated in either set. This operation results in \( \{0,1,2,3,4,5,6\} \).

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