Problem 34

Question

Find the union of the sets. $$\\{e, m, p, t, y\\} \cup \varnothing$$

Step-by-Step Solution

Verified
Answer
The union of the sets \( \{e, m, p, t, y\} \) and \( \varnothing \) is \( \{e, m, p, t, y\} \).
1Step 1: Identify the sets
The two sets presented are \( \{e, m, p, t, y\} \) which is a non-empty set, and \( \varnothing \) which is an empty set.
2Step 2: Apply the union operation
The union of a set and an empty set will always be the set itself. Hence, the union of the sets \( \{e, m, p, t, y\} \) and \( \varnothing \) is \( \{e, m, p, t, y\} \).