#MathsInMinutes Day 21: Combining sets

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● Given any two sets, we can use various operations to create new sets, several of which have their own shorthand.

● The intersection of two sets X and Y, written as X∩Y, is the set of all elements that are members of both X and Y, while the union of X and Y, written as X∪Y, is the set of all elements that are in at least one of the sets X and Y.

● The empty set, represented as { } or Ø, is the set that contains no elements at all. A subset of a set X is a set whose elements are all within X. It may include some elements of X, and the empty set is also a possible subset of any other set.

● The complement of Y, also known as not Y, is the set of elements in not in Y. If Y is a subset of X, then the relative complement of Y, written X\Y, is the set of elements in X that are not in Y, and this is often referred to as X not Y.

https://en.wikipedia.org/wiki/Set_theory#/media/File:Venn_A_intersect_B.svg

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