ind \( n(A) \) for the following set. \[ A=\text { the set of integers between }-11 \text { and } 11 \]

To find \( n(A) \), we first define the set \( A \) which consists of all integers between -11 and 11. This means \( A = \{-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} \). Counting these integers, we see there are 21 elements in total. Therefore, \( n(A) = 21 \). Now, let's have some fun with this! Did you know that if you take the absolute value of each of those integers, you end up with a set of values from 0 to 10, including duplicates like 1 and -1? It’s a nifty way to see symmetry in numbers! Want to put those numbers to good use? Think about how they can help with both real-life scenarios—like budgeting (understanding negative and positive balances)—or even in programming, where you often deal with ranges and conditions. Those integers can be the foundation of algorithms and logical operations!