3. A = {−8, −6, −4, −2, 0, 2, 4, 6, 8}.


The set \( A = \{-8, -6, -4, -2, 0, 2, 4, 6, 8\} \) represents a finite set of integers. It consists of nine elements, each of which is an even integer. The set includes both negative and positive numbers, along with zero.

Here are some key properties of the set:

1. **Type of Set**: \( A \) is a set of consecutive even integers from \(-8\) to \(8\), inclusive.
2. **Cardinality**: The number of elements in the set (or the size of the set) is 9.
3. **Symmetry**: The set is symmetric about 0, meaning for every positive number \( n \) in the set, there is a corresponding negative number \( -n \).
4. **Minimum and Maximum Elements**: The minimum element is \(-8\), and the maximum element is \( 8 \).
5. **Sum of Elements**: Since the set is symmetric about 0, the sum of all elements is 0.

Would you like more details about specific properties or operations involving this set?

Here are five related questions to explore:

1. What is the mean (average) of the elements in set \( A \)?
2. Is the set \( A \) closed under addition or multiplication

Analyze the properties of the set A = {-8, -6, -4, -2, 0, 2, 4, 6, 8}, a symmetric set of consecutive even integers. Discover the cardinality, symmetry, sum of elements, and explore related mathematical concepts like arithmetic series and set theory. Suitable for students in Grades 6-8.

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