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The task involves describing each set in words and then representing it using the Roster Method. Here’s how each set can be interpreted and represented:

a) \( P = \{ x \mid x^2 = 9 \} \)

- **Word description**: The set \( P \) contains elements \( x \) where \( x^2 = 9 \).
- **Solution**: \( x^2 = 9 \) implies \( x = \pm 3 \) (i.e., \( x = 3 \) or \( x = -3 \)).
- **Roster Method**: \( P = \{-3, 3\} \)

b) \( Q = \{ x \mid x - 10 = 0 \} \)

- **Word description**: The set \( Q \) contains elements \( x \) where \( x - 10 = 0 \), which implies \( x = 10 \).
- **Roster Method**: \( Q = \{10\} \)

c) \( R = \{ x \mid x \text{ is a positive number and a negative number} \} \)

- **Word description**: The set \( R \) includes both positive and negative numbers, which would theoretically be all integers except zero.
- **Roster Method**: \( R = \{\ldots, -2, -1, 1, 2, \ldots\} \)

d) \( S = \{ x \mid x \text{ is a letter in the word "PURWOKERTO KOTA SATRIA"} \} \)

- **Word description**: The set \( S \) consists of the distinct letters that form the phrase "PURWOKERTO KOTA SATRIA".
- **Roster Method**: \( S = \{P, U, R, W, O, K, E, T, A, S, I\} \)

e) \( T = \{ x \mid 0 < x < 11, x \text{ is an integer} \} \)

- **Word description**: The set \( T \) includes integers \( x \) that are greater than 0 and less than 11.
- **Roster Method**: \( T = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} \)

Would you like more details on any specific part of this explanation?

### Five related questions:
1. What is the difference between the Roster Method and the Set-Builder Notation?
2. How can we generalize the set \( P = \{ x \mid x^2 = 9 \} \) for any equation \( x^2 = a \)?
3. What would the set \( Q \) look like if the equation was \( x + 5 = 0 \)?
4. Can a set have both positive and negative numbers in real-world scenarios? How would you describe such a set?
5. How do you remove duplicates when creating a set from a phrase, as in set \( S \)?

### Tip:
When using the Roster Method, ensure that all elements in the set are unique and well-defined.

Himpunan-himpunan berikut ini nyatakan dalam kata-kata, kemudian nyatakan himpunan tersebut dengan Metode Roster:

a) P = { x | x^2 = 9 }
b) Q = { x | x - 10 = 0 }
c) R = { x | x bilangan positif dan x bilangan negatif }
d) S = { x | x adalah huruf pembentuk kata PURWOKERTO KOTA SATRIA }
e) T = { x | 0 < x < 11, x bilangan bulat }

Learn how to represent sets using the Roster Method. This example includes sets of integers, solutions to quadratic equations, and letters from a word. Suitable for students in Grades 7-9.

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