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Chapter 0: Problem 34

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

Short Answer

Expert verified
The union of the sets \(\{e, m, p, t, y\}\) and \(\varnothing\) is the set \(\{e, m, p, t, y\}\).

Step by step solution

01

Identify the sets

The two sets in consideration are the set \(\{e,m,p,t,y\}\) and the null set \(\varnothing\).
02

Understand the union operation

A union of two sets includes all the unique elements present in both the sets. In this case since one of the sets is a null set, meaning it does not have any elements, the result of a union operation will be the set itself.
03

Apply the union operation

Applying the union operation to the two sets, we get that the union of set \(\{e, m, p, t, y\}\) and the null set \(\varnothing\) will be the set \(\{e, m, p, t, y\}\). The null set did not contribute any new elements to the union as it has no elements.

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