Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Which set of numbers gives the correct possible values of \( \ell \) for \( n = 3 \)?

A. \( 0, 1, 2 \)

B. \( 0, 1, 2, 3 \)

C. \( -2, -1, 0, 1, 2 \)

D. [tex]\( -3, -2, -1, 0, 1, 2, 3 \)[/tex]

Sagot :

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]
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.