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Chapter 9: Problem 38

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

Short Answer

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

Step by step solution

01

Understand the concept of Union of sets

The Union of two or more sets is the set that contains all the distinct elements from those sets. The symbol used to represent Union is \('\cup'\). So if A and B are two sets, then the Union of A and B, represented as \(A \cup B\), will give a set that contains all the unique elements of both A and B.
02

Understand the concept of Null set

A Null set, also known as an empty set, is a set that contains no elements. It is represented as \('\varnothing'\). When considering the union with the Null set, there are no new elements to add to the initial set because the Null set contains no elements to begin with.
03

Apply the Union operation

Applying the Union of the two given sets \(\{e, m, p, t, y\} \cup \varnothing\), as per the definitions understood in steps 1 and 2, the resultant set after the Union operation will be the same as the original set as there were no new elements in the Null set to add.
04

Write down the result

The union of the given sets is \(\{e, m, p, t, y\}\), since the result remains unchanged after union operation with the null set.

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Most popular questions from this chapter

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