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Chapter 0: Problem 30

Find the union of the sets. $$\\{1,3,7,8\\} \cup\\{2,3,8\\}$$

Short Answer

Expert verified
The union of the two sets is \(\{1,2,3,7,8\}\)

Step by step solution

01

Identifying elements in each set

The first step is to identify and list down the elements in each set. The first set \(\{1,3,7,8\}\) has the elements 1, 3, 7, 8. And the second set \(\{2,3,8\}\) has the elements 2, 3, 8. It is noted that the elements 3 and 8 exist in both sets.
02

Combining the elements

The second step is to combine the elements from both sets into a new set. This new set will have all the elements from both sets, but without any repetitions. It means that the elements 3 and 8 which exist in both sets should be listed only once. Therefore, the elements in the new set are 1, 2, 3, 7, 8.
03

Writing the Final Answer

The final step is to write down the final answer. The answer is the new set containing all the distinct elements from both sets, i.e. \( \{1,2,3,7,8\} \).

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