Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Find [tex]\( n(A) \)[/tex] for the following set.

[tex]\( A \)[/tex] = the set of integers between [tex]\(-11\)[/tex] and [tex]\(11\)[/tex]

[tex]\[ n(A) = \][/tex]

[tex]\[ \square \][/tex]

Sagot :

GinnyAnswer
To find [tex]\( n(A) \)[/tex], the number of elements in set [tex]\( A \)[/tex], where set [tex]\( A \)[/tex] consists of all integers between [tex]\(-11\)[/tex] and [tex]\(11\)[/tex] inclusive, we proceed as follows:

1. Identify the Range of Elements:
- The smallest integer in the set [tex]\( A \)[/tex] is [tex]\(-11\)[/tex].
- The largest integer in the set [tex]\( A \)[/tex] is [tex]\(11\)[/tex].

2. Number of Elements Calculation:
- To count the number of integers from [tex]\(-11\)[/tex] to [tex]\(11\)[/tex] inclusive, we can consider the endpoints and count all integers in this range.

3. Count the Integers:
- If we have a range from [tex]\( -11 \)[/tex] to [tex]\( 11 \)[/tex], it includes both [tex]\(-11\)[/tex] and [tex]\(11\)[/tex] as well as all integers in between.

4. Determine the Total Count:
- The count of integers from [tex]\(-11\)[/tex] to [tex]\(11\)[/tex] is equal to the total number of integers.

Therefore, the number of elements in the set [tex]\( A \)[/tex], denoted as [tex]\( n(A) \)[/tex], is:
[tex]\[ n(A) = 23 \][/tex]

Thus, the value of [tex]\( n(A) \)[/tex] is [tex]\( 23 \)[/tex].
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.