Set (mathematics)
A set is like a group of things. For example, you can have a set of toy cars or a set of stuffed animals. In math, a set is a group of numbers or objects that share something in common.
Imagine that you have a set of all the animals in the zoo. You can have a set of all the animals that have fur, a set of all the animals that live in water, or a set of all the animals that can fly.
Sets are represented by braces {} and commas between the members. For example, if we have a set of numbers from 1 to 5, we would write it like this: {1, 2, 3, 4, 5}.
Sets can also be empty, meaning that there are no members in the set. We use the symbol "{}" to represent an empty set.
One important thing about sets is that they do not contain repeated members. If we have a set of numbers from 1 to 5, we cannot have a member appear more than once. So {1, 2, 2, 3, 5} is not a proper set, but {1, 2, 3, 5} is.
Sets can be combined or separated using different operations. For example, we can combine sets using the union operation, which results in a set containing all the members of both sets. We can also separate sets using the intersection operation, which results in a set containing only members that are in both sets.
In summary, a set is a group of things that share something in common, represented by braces and commas, and can be combined or separated using different operations.
Imagine that you have a set of all the animals in the zoo. You can have a set of all the animals that have fur, a set of all the animals that live in water, or a set of all the animals that can fly.
Sets are represented by braces {} and commas between the members. For example, if we have a set of numbers from 1 to 5, we would write it like this: {1, 2, 3, 4, 5}.
Sets can also be empty, meaning that there are no members in the set. We use the symbol "{}" to represent an empty set.
One important thing about sets is that they do not contain repeated members. If we have a set of numbers from 1 to 5, we cannot have a member appear more than once. So {1, 2, 2, 3, 5} is not a proper set, but {1, 2, 3, 5} is.
Sets can be combined or separated using different operations. For example, we can combine sets using the union operation, which results in a set containing all the members of both sets. We can also separate sets using the intersection operation, which results in a set containing only members that are in both sets.
In summary, a set is a group of things that share something in common, represented by braces and commas, and can be combined or separated using different operations.
Related topics others have asked about: