Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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].
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.