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Chapter 9: Problem 6

Find the intersection of the sets. $$\\{w, y, z\\} \cap \varnothing$$

Short Answer

Expert verified
The intersection of the sets \(\{w, y, z\}\) and \(\varnothing\) is \(\varnothing\).

Step by step solution

01

Understand the empty set

The empty set, denoted by \(\varnothing\), is a set that has no elements.
02

Understand the concept of intersection of sets

The intersection of two sets A and B, written as \(A \cap B\), is the set of all elements that are common to both A and B.
03

Apply intersection to given sets

In this case, we have the two sets \(\{w, y, z\}\) and \(\varnothing\). One will see that there are no common elements between the two sets since the second set contains no elements. Therefore, \(\{w, y, z\} \cap \varnothing = \varnothing\)

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