Answer :
To determine the correct set of possible values for \( n = 3 \), we need to consider all the integers in a specific range. Here’s a step-by-step explanation:
1. Identify the Range:
We are given \( n = 3 \). The range of integers we need to consider includes all integers starting from \(-n\) to \( n \).
2. Generate the Set:
- The minimum value in the set will be \(-n\). For \( n = 3 \), this is \(-3\).
- The maximum value in the set will be \( n \). For \( n = 3\), this is \(3\).
3. List All Integers:
We list all integers starting from \(-n\) to \( n \), inclusive. This means we include \(-3, -2, -1, 0, 1, 2, 3\).
4. Verify the Correct Set:
Now that we have listed the integers, we can verify the correct set:
- The numbers \(-3, -2, -1, 0, 1, 2, 3\) cover all integers from \(-3\) to \(3\).
Therefore, the correct possible values for \( n = 3 \) are:
[tex]\[ -3, -2, -1, 0, 1, 2, 3 \][/tex]
Thus, the correct choice among the given options is:
[tex]\[ -3, -2, -1, 0, 1, 2, 3 \][/tex]
1. Identify the Range:
We are given \( n = 3 \). The range of integers we need to consider includes all integers starting from \(-n\) to \( n \).
2. Generate the Set:
- The minimum value in the set will be \(-n\). For \( n = 3 \), this is \(-3\).
- The maximum value in the set will be \( n \). For \( n = 3\), this is \(3\).
3. List All Integers:
We list all integers starting from \(-n\) to \( n \), inclusive. This means we include \(-3, -2, -1, 0, 1, 2, 3\).
4. Verify the Correct Set:
Now that we have listed the integers, we can verify the correct set:
- The numbers \(-3, -2, -1, 0, 1, 2, 3\) cover all integers from \(-3\) to \(3\).
Therefore, the correct possible values for \( n = 3 \) are:
[tex]\[ -3, -2, -1, 0, 1, 2, 3 \][/tex]
Thus, the correct choice among the given options is:
[tex]\[ -3, -2, -1, 0, 1, 2, 3 \][/tex]
