Learn about a subset, a set containing some or all elements of another set, used in mathematics and logic to explore relationships between sets.
A subset is a set that contains only elements that are also in another set. In other words, every element of a subset is also an element of the original set. For example, if we have a set A = {1, 2, 3, 4} and a set B = {2, 3}, set B is a subset of set A because all the elements of B are also elements of A.
A proper subset is a subset that is not equal to the original set. In other words, for set A to be a proper subset of set B, it must be a subset of B, but not equal to B. For example, if we have a set C = {1, 2} and a set D = {1, 2, 3}, set C is a proper subset of set D because C is a subset of D but C is not equal to D.
There are various ways to represent subsets, including using set notation or listing the elements of the subset within curly braces. For example, if we have a set E = {1, 2, 3} and a subset F = {1, 2}, F can be represented as F ⊆ E or F = {1, 2}.
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