Lyons Lane
04/21/2024 · Middle School
Find the indicated union. \( \{c, k, e\} \cup\{y, k, c, e, p\} \)
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Tutor-Verified Answer
Step-by-step Solution
To find the union of the sets \( \{c, k, e\} \) and \( \{y, k, c, e, p\} \), we combine all the unique elements from both sets.
The first set is:
\[
\{c, k, e\}
\]
The second set is:
\[
\{y, k, c, e, p\}
\]
Now, we list all the unique elements from both sets:
- From the first set: \( c, k, e \)
- From the second set: \( y, k, c, e, p \)
Combining these, we have:
- \( c \)
- \( k \)
- \( e \)
- \( y \)
- \( p \)
Now, we remove any duplicates. The unique elements are:
\[
\{c, k, e, y, p\}
\]
Thus, the union \( \{c, k, e\} \cup \{y, k, c, e, p\} \) is:
\[
\{c, k, e, y, p\}
\]
Quick Answer
The union is \( \{c, k, e, y, p\} \).
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