Hanson Vaughn
04/17/2024 · Junior High School
Find the union of the sets. 1. \( \{6,9,12,15\} \cup\{6,12,18\} \)
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Step-by-step Solution
To find the union of the sets \( \{6,9,12,15\} \) and \( \{6,12,18\} \), we combine all the unique elements from both sets.
1. The first set is \( \{6, 9, 12, 15\} \).
2. The second set is \( \{6, 12, 18\} \).
Now, we list all the elements from both sets:
- From the first set: \( 6, 9, 12, 15 \)
- From the second set: \( 6, 12, 18 \)
Next, we combine these elements, ensuring that we only include each unique element once:
- The unique elements are: \( 6, 9, 12, 15, 18 \)
Thus, the union of the sets is:
\[
\{6, 9, 12, 15, 18\}
\]
Quick Answer
The union of the sets is \( \{6, 9, 12, 15, 18\} \).
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