Problem 28
Question
Find the intersection of the sets. $$\\{w, y, z\\} \cap \varnothing$$
Step-by-Step Solution
Verified Answer
\varnothing
1Step 1: Understanding the Definition of Intersection of Sets
The intersection of two sets A and B is a set that includes all elements that are in both A and B. Symbolically, the intersection of A and B is represented as \(A \cap B\).
2Step 2: Identifying the Sets
In this problem, we have two sets. The first set is \{w, y, z\} and the second set is an empty set which is referred by the symbol \varnothing.
3Step 3: Finding the Intersection of the Sets
Since the intersection includes all the elements that two sets have in common, and considering that an empty set has no elements, the intersection of any set with an empty set (\varnothing) will be the empty set itself.
Other exercises in this chapter
Problem 27
Find each product. $$\left(5 x^{2}-4\right)\left(3 x^{2}-7\right)$$
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Simplify each exponential expression. $$x^{11} \cdot x^{5}$$
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Factor each trinomial, or state that the trinomial is prime. $$6 x^{2}-17 x+12$$
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