Subsets
What are Subsets in Maths?
If every component of Set A is also present in Set B, then Set A is said to be a subset of Set B. To put it another way, Set B contains Set A.
What are Proper Subsets?
A subset of a set A that is not equal to A is a proper subset of A. In other words, if B is a proper subset of A, then A has at least one element that is not in B but all of B’s elements are in A.
What are Improper Subsets?
A subset that includes every component of the original set is considered an inappropriate subset.
Can a Subset be Equal to Itself?
Every set is thought of as a subset of itself. The proper subset of no set is itself. Every set has the empty set as a subset.
Can a Subset be a Universal Set?
We can say that set A is the subset of set B if every element in set A is also an element in set B. Then, any given universal set can be used to produce the subsets. It’s also important to keep in mind that every universal set is actually a subset of itself.
Can a Subset be Null?
Yes, a null set is by default subset of any set.
What are the two classifications of subset?
The classifications of subsets are:
- Proper subset
- Improper subset
Subsets in Maths
Subsets in maths are a core concept in the study of Set Theory, similar to Sets. A group of elements, objects, or members enclosed in curly braces, such as {x, y, z} is called a Set, where each member of the set is unique. So for a set of {x, y, z} the possible subsets are {}, {x}, {y}, {z}, {x, y}, {y, z}, {z, x} or {x, y, z}. While defining a set its elements could be real numbers, constants, variables, or any other objects as well.
This article explores the concept of Subsets in detail and makes it easy to grasp for all the readers of the article without any regard to their academic level. All subtopics such as their meaning, definition, symbol, example, and many many more, are covered in the article with plenty of examples. So, let’s start our journey to the land of set theory and understand this concept of Subsets.
In this article, we have provided detailed information about what are subsets in maths, supersets in maths, proper subset, and improper subset with examples and FAQs.
Table of Content
- What are Subsets in Maths?
- Example of Subsets
- Power Set of a Set
- Types of Subsets
- Proper Subset
- Improper Subset
- Proper and Improper Subsets
- Subsets vs Supersets