1. Describe each of the following sets using a verbal method.

a. 𝐴 = { 5, 6, 7, 8, 9} b. 𝑀 = {2, 3, 5, 7, 11, 13}

c. 𝐺 = {8, 9, 10, … . } d. 𝐸 = {1, 3, 5, … , 99}

2. Describe each of the following sets using complete and partial listing method (if

possible):

a. The set of positive even natural numbers below or equal to 10.

b. The set of positive even natural numbers below or equal to 30.

c. The set of non-negative integers.

d. The set of even natural numbers.

e. The set of natural numbers less than 100 and divisible by 5.

f. The set of integers divisible by 3.

3. List the elements of the following sets:

Let's break down each of the tasks step by step.

### 1. Verbal Description of the Sets

a. **Set \( A = \{ 5, 6, 7, 8, 9 \} \):**  
   - **Verbal Description:** Set \( A \) consists of the consecutive integers starting from 5 and ending at 9.

b. **Set \( M = \{2, 3, 5, 7, 11, 13 \} \):**  
   - **Verbal Description:** Set \( M \) contains the first six prime numbers.

c. **Set \( G = \{8, 9, 10, \dots \} \):**  
   - **Verbal Description:** Set \( G \) consists of all integers greater than or equal to 8.

d. **Set \( E = \{1, 3, 5, \dots, 99 \} \):**  
   - **Verbal Description:** Set \( E \) consists of all odd integers between 1 and 99, inclusive.

### 2. Description Using Complete and Partial Listing Method

a. **Positive even natural numbers below or equal to 10:**
   - **Complete Listing:** \( \{2, 4, 6, 8, 10\} \)

b. **Positive even natural numbers below or equal to 30:**
   - **Complete Listing:** \( \{2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30\} \)

c. **Non-negative integers:**
   - **Partial Listing:** \( \{0, 1, 2, 3, \dots \} \)

d. **Even natural numbers:**
   - **Partial Listing:** \( \{2, 4, 6, 8, \dots \} \)

e. **Natural numbers less than 100 and divisible by 5:**
   - **Complete Listing:** \( \{5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95\} \)

f. **Integers divisible by 3:**
   - **Partial Listing:** \( \{\dots, -9, -6, -3, 0, 3, 6, 9, \dots \} \)

### 3. Listing the Elements of the Sets
For this part, it seems you intended to provide specific sets to list, but they aren't included in the prompt. Please provide the specific sets you'd like to list the elements of, and I'd be happy to help!

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Would you like further details on any of these sets or descriptions? 

Here are some related questions you might be interested in:

1. How can we describe the set of all prime numbers verbally?
2. How would you describe the set of negative even integers verbally?
3. Can you describe the set of natural numbers less than 50 that are divisible by 7?
4. What is the difference between complete and partial listing methods?
5. How can you describe a set that contains only multiples of 4?
6. What set contains all integers greater than 0 and less than 20?
7. How would you list all the elements in a set of integers divisible by 5 and less than 50?
8. Can you list the elements of the set of all even integers greater than 20 and less than 40?

**Tip:** When describing sets, it is helpful to identify any patterns or rules that govern the membership of elements in the set.

Explore how to describe sets using verbal methods and complete/partial listing methods. Learn about sets of natural numbers, integers, and specific subsets such as even numbers and multiples of 5. Suitable for Grades 6-8.

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