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The image contains a set of questions requiring the roster method to represent sets. Here are the questions listed for clarity:

1. Use the roster method to represent each set:
   - a. The set of natural numbers less than 5.
   - b. The solution set of \( x + 5 = -1 \).
   - c. The set of negative integers greater than \(-4\).
   - d. The set of months of the year with a name that starts with the letter J.
   - e. The set of whole numbers less than 8.
   - f. The set of natural numbers that satisfy \( x - 3 \leq 7 \).
   - g. The set of counting numbers larger than \(-3\) and less than or equal to 6.

Let me now provide the solutions for each:

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**a. The set of natural numbers less than 5.**
   - Natural numbers are positive integers starting from 1.
   - Roster form: \( \{1, 2, 3, 4\} \)

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**b. The solution set of \( x + 5 = -1 \).**
   - Solve for \(x\): \( x = -1 - 5 = -6 \).
   - Roster form: \( \{-6\} \)

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**c. The set of negative integers greater than \(-4\).**
   - Negative integers greater than \(-4\) are \( -3, -2, -1 \).
   - Roster form: \( \{-3, -2, -1\} \)

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**d. The set of months of the year with a name that starts with the letter J.**
   - The months are January, June, July.
   - Roster form: \( \{\text{January}, \text{June}, \text{July}\} \)

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**e. The set of whole numbers less than 8.**
   - Whole numbers are non-negative integers.
   - Roster form: \( \{0, 1, 2, 3, 4, 5, 6, 7\} \)

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**f. The set of natural numbers that satisfy \( x - 3 \leq 7 \).**
   - Solve \( x - 3 \leq 7 \) which gives \( x \leq 10 \).
   - Since \(x\) is a natural number, \( \{1, 2, 3, \dots, 10\} \).
   - Roster form: \( \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} \)

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**g. The set of counting numbers larger than \(-3\) and less than or equal to 6.**
   - Counting numbers (natural numbers starting from 1).
   - Roster form: \( \{1, 2, 3, 4, 5, 6\} \)

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Would you like further clarification on any of the answers? 

Here are 5 related questions to expand your understanding:

1. What is the difference between natural numbers and whole numbers?
2. Can sets have an infinite number of elements? Give an example.
3. How would you represent an empty set in roster notation?
4. How would you express a set of even numbers less than 10 using the roster method?
5. What is the difference between set-builder notation and roster notation?

**Tip**: Roster method lists all the elements of a set explicitly, but it's more efficient to use set-builder notation for larger or infinite sets.

Use the roster method to represent each set:
- a. The set of natural numbers less than 5.
- b. The solution set of x + 5 = -1.
- c. The set of negative integers greater than -4.
- d. The set of months of the year with a name that starts with the letter J.
- e. The set of whole numbers less than 8.
- f. The set of natural numbers that satisfy x - 3 ≤ 7.
- g. The set of counting numbers larger than -3 and less than or equal to 6.

Explore how to represent sets using the roster method. Learn through examples involving natural numbers, whole numbers, and inequalities. This guide is ideal for students in Grades 6-8.

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