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Chapter 0: Problem 25

Find the intersection of the sets. $$\\{1,3,5,7\\} \cap\\{2,4,6,8,10\\}$$

Short Answer

Expert verified
Since there are no common elements in the two sets, the intersection of the two sets is an empty set, denoted as {} or \(\emptyset\).

Step by step solution

01

Identify the Sets

The two sets that are given in the problem are \(\{1,3,5,7\}\) and \(\{2,4,6,8,10\}\)
02

Compare the Elements in the Sets

Next, list out the elements in each set and compare them to find any common elements. The elements in the first set are \(1, 3, 5, 7\) and the elements in the second set are \(2, 4, 6, 8, 10\)
03

Identify Common Elements

After comparing the elements in both sets, it is observed that there are no common elements between the two sets.

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