Write the resulting set using the listing method.

​{55​,77​,88​}union∪​{55​,88​,99​}

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Part 1

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A.

​{55​,77​,88​}union∪​{55​,88​,99​}equals=StartSet nothing EndSetenter your response here

​(Use a comma to separate answers as​ needed.)

B.

​{55​,77​,88​}union∪​{55​,88​,99​} 

is the empty set.

The union of two sets includes all the elements that are in either of the sets (without duplicates). Let's compute the union of the two sets:

- Set 1: \(\{55, 77, 88\}\)
- Set 2: \(\{55, 88, 99\}\)

To find the union (\(\cup\)), we combine all the unique elements from both sets:

\[
\{55, 77, 88\} \cup \{55, 88, 99\} = \{55, 77, 88, 99\}
\]

The correct answer is:

\[
\{55, 77, 88, 99\}
\]

So the correct choice is **A** with the answer \(\{55, 77, 88, 99\}\).

Would you like a deeper explanation on how unions work?

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Here are 5 related questions for further practice:
1. What is the intersection of \(\{55, 77, 88\}\) and \(\{55, 88, 99\}\)?
2. What is the difference of \(\{55, 77, 88\} - \{55, 88, 99\}\)?
3. If \(\{x \mid x \text{ is a prime number}\} \cup \{x \mid x \text{ is an odd number}\}\), what would the union look like?
4. Can a union of two sets ever be smaller than either of the original sets?
5. What is the union of \(\{1, 2, 3\}\) and \(\{4, 5, 6\}\)?

**Tip:** The union of two sets contains all elements from both sets, but always excludes any duplicates.

Write the resulting set using the listing method.
{55, 77, 88} ∪ {55, 88, 99}. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Learn how to calculate the union of two sets: {55, 77, 88} and {55, 88, 99}. This problem covers key concepts in set theory, including the union operation and its theorem. Suitable for students in Grades 6-8.

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