Sets

Introduction to Sets and Set Operations. The presentation include contents of a KWLH Chart, Essential Questions, and Self-Assessment Questions. With exploration and formative assessments.

Know the basics on sets such as the methods of writing sets, the cardinality of a set, null and universal sets, equal and equivalents sets, and many more.

This document defines and describes several key concepts in set theory: 1. A set is a collection of well-defined objects that can be clearly distinguished from one another. Examples of sets include the set of natural numbers from 1 to 50. 2. Sets can be described using either the roster method, which lists the elements within curly brackets, or the set-builder method, which defines a property for the elements. 3. Types of sets include the empty set, singleton sets containing one element, finite sets that can be counted, infinite sets that cannot be counted, equivalent sets with the same number of elements, and subsets where all elements of one set are contained within another set.

The document discusses sets, relations, and functions. It begins by providing examples of well-defined and not well-defined collections to introduce the concept of a set. A set is defined as a collection of well-defined objects. Standard notations for sets are introduced. Sets can be represented using a roster method by listing elements or a set-builder form using a common property. Sets are classified as finite or infinite based on the number of elements, and other set types like the empty set and singleton set are defined. Equal, equivalent, and disjoint sets are also defined.

The document defines and provides examples of different set operations: 1) Universal sets are sets that contain all other sets as subsets. The universal set of countries would be all countries. 2) Complements of a set are elements that are in the universal set but not in the given set. The complement of letters in "crush" would be other letters. 3) Unions of sets contain all unique elements of the sets combined. The union of sets {1,2,3} and {2,4} is {1,2,3,4}. 4) Intersections of sets contain only elements common to both sets. The intersection of sets {1,2,3} and {

This document defines and describes various types of sets and set operations. It defines sets such as the set of natural numbers N, integers Z, rational numbers Q, and real numbers R. It describes how sets can be defined using roster form or set-builder form. It also defines finite and infinite sets, empty sets, subsets, power sets, unions, intersections, complements, Cartesian products, Venn diagrams, and De Morgan's laws for set operations.

This document introduces some basic concepts in set theory. It defines a set as a structure representing an unordered collection of distinct objects. Set theory deals with operations on sets such as union, intersection, difference and relations between sets. It provides notations for sets and examples of basic properties of sets like equality, subsets, empty sets and infinite sets. The document also introduces concepts like cardinality, power sets, Cartesian products and Venn diagrams to represent relationships between sets.

This document introduces basic concepts of set theory, including definitions of sets, elements, and notations. It describes ways to describe sets through listing elements, verbal descriptions, or mathematical rules. Special sets like the null set and universal set are introduced. Key concepts of subsets, proper subsets, set operations like union and intersection, complements, differences and examples are explained. Venn diagrams are presented as a visual way to represent sets and relationships. The document concludes with some example test questions.

This presentation includes basic concepts of Set Theory, definitions related to sets, various laws and Theorems. Practice problems are also mentioned.

1) The document defines basic set terminology including sets, elements, subsets, finite and infinite sets, empty sets, equivalent sets, equal sets, and the universal set. 2) It provides an example of a situation where 80 students brought sandwiches, drinks, and canned goods to an outing, with various numbers of students bringing each item. 3) The key question is how many students did not bring any of the 3 kinds of items (sandwiches, drinks, canned goods).

- The document discusses sets and set notation. It defines basic set concepts like elements, membership using the symbols ∈ and ∉, and cardinality. - It provides examples of sets defined using the roster method by listing elements within curly braces, and asks questions about element membership and cardinality. - Additional methods for defining sets are described, including using a rule or property that elements satisfy, and providing a description of the set's elements.

Sections Included: 1. Collection 2. Types of Collection 3. Sets 4. Commonly used Sets in Maths 5. Notation 6. Different Types of Sets 7. Venn Diagram 8. Operation on sets 9. Properties of Union of Sets 10. Properties of Intersection of Sets 11. Difference in Sets 12. Complement of Sets 13. Properties of Complement Sets 14. De Morgan’s Law 15. Inclusion Exclusion Principle

A set is a collection of distinct objects called elements or members. A set can be defined using a roster method that lists the elements within curly brackets, or a rule method that describes a characteristic property that determines the elements. The cardinality of a set refers to the number of elements it contains, and can be finite or infinite.

This document discusses sets, functions, and relations. It begins by defining key terms related to sets such as elements, subsets, operations on sets using union, intersection, difference and complement. It then discusses relations and functions, defining a relation as a set of ordered pairs where the elements are related based on a given condition. Functions are introduced as a special type of relation where each element of the domain has a single element in the range. The document aims to help students understand and use the properties and notations of sets, functions, and relations, and appreciate their importance in real-life situations.

This document defines basic set theory concepts including sets, elements, notation for sets, subsets, unions, intersections, and empty sets. It provides examples and notation for these concepts. Sets are collections of objects, represented with capital letters, while elements are individual objects represented with lowercase letters. Notation includes braces { } to list elements and vertical bars for set builder notation. A is a subset of B if all elements of A are also in B, written as A ⊆ B. The union of sets A and B contains all elements that are in A or B, written as A ∪ B. The intersection of sets A and B contains elements that are only in both A and B, written as A ∩ B.