Answered

IDNLearn.com provides a seamless experience for finding and sharing answers. Get the information you need from our community of experts who provide accurate and comprehensive answers to all your questions.

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 :

GinnyAnsweridn
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 using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Your questions deserve precise answers. Thank you for visiting IDNLearn.com, and see you again soon for more helpful information.