Math Problem Statement
- Bonus: Give a second, different definition of B using set-builder notation. B = {0, 2, 4, 6, 8}
Solution
To provide a second definition of the set using set-builder notation, we can describe the elements of in a different way. One approach is to describe as the set of all non-negative even integers less than 10.
Here’s a different definition using set-builder notation:
Explanation:
- specifies that is an integer.
- restricts to be between 0 and 9, inclusive.
- is even ensures that is an even number, which gives us the set .
Would you like more details or have any questions about this?
Here are 5 related questions to expand on this topic:
- What is the set-builder notation for the set of all odd integers less than 10?
- How would you represent the set using a rule for odd numbers in set-builder notation?
- What are some other ways to describe the set of all non-negative integers less than 10?
- How can set-builder notation be used to describe infinite sets?
- What is the difference between describing a set using set-builder notation versus listing its elements?
Tip: When using set-builder notation, always ensure that the conditions clearly and uniquely define each element of the set.
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Math Problem Analysis
Mathematical Concepts
Set Theory
Set-builder Notation
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12