Set Symbols

1. Define Set Symbol.

The set symbol is a branch that studies groupings of entities/numbers/objects, their relationships with other sets, different operations (union, intersection, complement, and difference), and associated features.

2. What does this symbol ⊆ represent?

The symbol “⊆” means “is a subset of.” A subset is a set whose items have been added as if they were all elements of another set.

3. What does ∪ mean in sets?

‘∪’ is the sign for the set union. A ∪ B is a set that contains all of the elements of sets A and B.

4. What does P = Q represents?

If set P equals set Q, then the members of P and Q are the same. For example:

P = {4,5,6} and Q = {6,5,4} 

As a result, P = Q.

5. In mathematics, what does ∩ mean?

‘∩’ signifies the union of two sets. A ∩ B is a set that contains items shared by both A and B.

6. What is ∈ in sets?

∈ is a sign that means ‘belongs to’. If b ∈ B, it indicates that b is an element of B.

7. What is the set N ={1, 2, 3, 4, 5, . . .} known as?

The set of natural numbers is defined as N = {1, 2, 3, 4, 5, …} It contains all positive numbers, ranging from 1 to an infinite number. This collection is crucial to mathematics and provides a framework for both ordering and counting.

8. What is A × B in sets?

The Cartesian product of the sets A and B is shown as A x B in the set symbol. It is the set that includes all possible ordered pairings in which the first element is drawn from set A and the second from set B.

9. How will you read A ∩ B?

A∩B is pronounced “A intersection B.” It stands for the set that contains elements which are common in both sets.

10. What does the Ø mean in Set Theory?

In set theory, the idea of an empty set, which has no items, is denoted by the symbol Ø(pronounced “empty set”). 

11. What is AUB?

AUB in mathematics stands for the union of the sets A and B. It refers to the set that includes every element from both sets A and B. 

12. Is ∅ the same as {}?

Yes, ∅ and {} both represent the empty set in mathematics. Thus, both are the different notation of same thing. 

Set Symbols are a collective term used for all the symbols used in set theory which is the branch of mathematics that deals with the collection of objects and their various properties. A set is a well-defined collection of objects where each object in the collection is called an element and each element of the set follows a very specific rule. Generally, capital letter of English alphabets are used to denote sets and some letters denotes some specific sets in set theory.

There are many symbols used throughout the study of this branch of math, some of the common symbols are {}, |, :, ∈, ∉, ⊆, U, Ø, etc. We will discuss all these symbols in detail in the article including the history of these symbols as well. So, let’s start our journey of learning about various different set symbols used in set theory.