Practise Questions for Set Symbols

Question 1: Given the sets:

  • A = {2, 4, 6, 8}
  • B = {4, 8, 12, 16}

Determine the elements in the union of sets A and B.

Question 2: Let’s consider the sets:

  • X = {1, 2, 3, 4, 5}
  • Y = {3, 4, 5, 6, 7}

Find the intersection of sets X and Y.

Question 3: Suppose you have the sets:

  • P = {a, b, c, d}
  • Q = {c, d, e, f}

Calculate the elements in set P – Q as well as Q – P.

Question 4: Let’s say you have the sets:

  • U = {1, 2, 3, 4, 5}
  • V = {4, 5, 6, 7}

Find out whether set V is a subset of set U.

Question 5: Consider the sets:

  • S = {apple, banana, orange, pear}
  • T = {pear, mango, cherry}

Find the Cartesian product of sets S and T.

Question 6: Suppose you have the universal set:

  • U = {a, b, c, d, e, f, g, h, i, j}

And the sets:

  • E = {b, d, f, h, j}
  • F = {a, c, e, g, i}

Calculate the complement of set E and F with respect to the universal set U.

Set Symbols

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.

Table of Content

  • What are Set Symbols?
  • History of Set Symbols
  • Basic Concepts of Set Symbols
  • Set Symbols in Maths
  • Set Theory Symbols
  • Solved Examples on Set Symbols
  • Practise Qusetion for Set Symbols
  • FAQs

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What are Set Symbols?

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History of Set Symbols

Set symbols are basic building blocks of mathematics that are used to represent and describe groups of objects, numbers, or items that have similar properties. These symbols offer a clear and consistent approach to communicating difficult ideas about sets and their interactions. The most typical set symbol is “∈,” which stands for “membership” and is pronounced as “belongs to”. “∈” indicates that an element is part of a specific set....

Basic Concepts of Set Symbols

Between 1874 and 1897, a German mathematician called Georg Ferdinand Ludwig Philipp Cantor developed an abstract theory named Set Theory. He proposed it while researching some factual concerns involving specific forms of infinite sets of real numbers. A set, according to the notion, is a grouping of certain defined and distinct objects of observation. All of these things are referred to as members or components of the set. The property of real algebraic number combinations is the foundation of Cantor’s theory....

Set Symbols in Maths

Various ideas are covered at various levels of schooling in set theory. Set representation, set types, set operations (such as union and intersection), set cardinality and relations, and so on are among the essential concepts. Some of the essential concepts in set theory are as follows:...

Set Theory Symbols

To refer to various things and amounts, the set symbol frequently uses a predefined list of variable symbols. To read and create set notation, you must first grasp how to employ symbols in diverse situations. Let us look at all the set theory notation and symbols relating to operations, relations, and so on, together with their meanings and examples, under this category....

Solved Examples on Set Symbols

Delimiters are special characters or sequences of characters that indicate the beginning or end of a certain statement or function body of a specified set. The following are the delimiters set theory symbols and meanings:...

Practise Questions for Set Symbols

Example 1: Given two sets with P={21, 32, 43, 54, 65, 75} and Q={21, 43, 65, 75, 87, 98} what is the value of P∪Q?...

FAQs on Set Symbols

Question 1: Given the sets:...