Math Problem Statement
Use the following roster notations to write in set builder notation, use x as the variable: {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36}.
Solution
It looks like this is the same image from earlier, showing the same problem on set builder notation for the set of even integers:
To fill in the blanks based on the instructions:
- You are asked to express the set using set-builder notation with as the variable.
Here is how you would complete it:
- Select "even" from the dropdown, as the set contains even integers.
- The range is between 2 and 36, so you would fill in the numbers 2 and 36 in the respective blanks.
The full set-builder notation would look like this:
Ensure you select "even" from the dropdown menu as it matches the pattern of the set.
Do you have any further questions or need clarification?
Here are five related questions:
- How would you express the set of multiples of 5 between 5 and 50 in set-builder notation?
- If the set contained all odd integers from 1 to 21, how would the set-builder notation change?
- What is the difference between expressing a finite set and an infinite set in set-builder notation?
- How would you handle a set that includes both even and odd numbers but with specific intervals, like ?
- What is the importance of set-builder notation in defining sets with more complex conditions, such as inequalities?
Tip: When converting a set to set-builder notation, focus on identifying patterns such as "even", "odd", or "multiples" to describe the set concisely.
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Math Problem Analysis
Mathematical Concepts
Set Theory
Set Builder Notation
Even Numbers
Formulas
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Theorems
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Suitable Grade Level
College Level (Algebra)