1. Sets are commonly used in mathematics to organize and compare groups of numbers or objects. For example, a set of all even numbers includes the numbers 2, 4, 6, etc.
2. Sets can also be used to represent concepts or ideas. For instance, a set of primary colors includes the colors red, blue, and yellow.
3. The elements within a set are distinct and unordered. This means that the order in which the elements appear within the set does not matter, and each element is unique.
4. Sets are often denoted by using curly braces {} and listing the elements within the set. For example, the set of all prime numbers less than 10 can be written as {2, 3, 5, 7}.
5. Sets can be compared using various operations such as union, intersection, and complement. These operations are used to combine or compare sets based on their elements.
6. Sets can also be infinite, such as the set of all natural numbers (1, 2, 3, etc.) or the set of all real numbers.
