An example of an even number set is {2, 4, 6, 8, 10}.
Even numbers are integers that are exactly divisible by 2. This means when an even number is divided by 2, the remainder is always 0. A set, in mathematical terms, is a collection of distinct objects, considered as an object in its own right. Therefore, a set of even numbers is simply a collection of even numbers.
Here are a few more examples of even number sets:
- {0, 2, 4, 6, 8}
- { -2, 0, 2, 4, 6 }
- {10, 20, 30, 40, 50}
- {2n : n is an integer} - This is a more general, infinite set that includes all even numbers. It means "the set of all numbers that can be expressed as 2 multiplied by some integer."
As noted in the provided reference, even numbers can be expressed in the form 2n, where n is any integer. This allows us to generate an infinite set of even numbers. This includes 0 because 2 * 0 = 0, fitting the definition.
