Set in Set Builder Form: {1, 1/2, 1/3, 1/4, 1/4}
Explaining the Set in Set Builder Form:
1. Definition:
The given set {1, 1/2, 1/3, 1/4, 1/4} consists of the numbers 1, 1/2, 1/3, 1/4, and 1/4.
2. Set Builder Form:
The set in set builder form can be represented as:
{ x | x = 1/n, where n is a natural number such that n is greater than or equal to 1 and less than or equal to 4 }
3. Explanation:
- The set builder form indicates that the set includes elements of the form 1/n, where n is a natural number.
- In this case, n ranges from 1 to 4, resulting in the elements 1/1, 1/2, 1/3, and 1/4.
- The set contains distinct elements, even though 1/4 is repeated in the list.
4. Clarification:
- The set builder form provides a concise and precise way to represent the set by specifying the condition that the elements must satisfy.
- It helps in understanding the pattern or rule that governs the elements of the set, making it easier to identify and work with the elements.
In conclusion, the set {1, 1/2, 1/3, 1/4, 1/4} can be represented in set builder form as { x | x = 1/n, where n is a natural number such that n is greater than or equal to 1 and less than or equal to 4 }. This form highlights the relationship between the elements of the set and the condition they must meet to be included.

{x:x=1/n+1 ,n=1,2,3,4}