Question

How to write the list of numbers in set builder notation?
A = {4, 6, 8, 10, 12}

Answer 1

To express the set A = {4, 6, 8, 10, 12} in set builder notation, you can use A = x where n represents integers between 1 and 5.

Step-by-step explanation:

To write the list of numbers A = {4, 6, 8, 10, 12} in set builder notation, you need to identify the pattern or rule that all numbers in the set follow. In this case, each number is an even number, and the difference between each number is 2. The numbers increase by 2 starting from 4. Thus, you can express this set in set builder notation as:

A = x

Here, x represents any number in the set. n is an integer in the natural numbers set N (also known as counting numbers), and the condition 1 ≤ n ≤ 5 indicates the range of values for n that we use to generate the numbers in the set A.