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Set Notation

What is a set?

A set is a collection of distinct objects, which are called the elements of the set. A set can be made up of any type of elements: numbers, letters, words, days of the week, etc. The only rule is that every element of a set must be unique. An element cannot appear twice in a set.

Sets can be written in several different ways. Sets can be described in words; for example, "the set of the letters of the alphabet" or "the set of even numbers."

Sets can also be written out in set notation: the elements of the set are separated by commas, and the list of elements is enclosed in braces; for example, {1, 2, 3} or {Monday, Tuesday, Wednesday, Thursday, Friday}.

In set notation, the order of the elements does not matter. The set {1, 2, 3} is exactly the same as the set {3, 1, 2}.

Finite and infinite sets

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