Final answer:
In mathematics, membership is used to determine if a new item belongs to a set. It is denoted by the symbol ∈. If an item is in the set, it is a member, and if it is not, it is not a member.
Step-by-step explanation:
In mathematics, when you have a large set and want to determine whether a new item belongs to that set, you can use a concept called membership. Membership is denoted by the symbol ∈. If an item is in the set, it is said to be a member of the set, and if it is not in the set, it is not a member of the set.
For example, let's say we have a set of even numbers: {2, 4, 6, 8}. If we want to check whether the number 10 belongs to this set, we can write it as 10 ∈ {2, 4, 6, 8}, which means that 10 is a member of the set of even numbers.