Sets

Set = A collection of distinct elements Relation = A set of ordered pairs Subset = A set whose elements are all contained in another set Equivalence relation = A relation that is reflexive, symmetric, and transitive

Union = Combines all elements from two sets Intersection = Includes only the elements that are common to both sets Complement = Contains all elements not in the set Cartesian product = Combines all possible ordered pairs from two sets

Reflexive = Every element is related to itself Symmetric = If a is related to b, then b is related to a Transitive = If a is related to b and b is related to c, then a is related to c Antisymmetric = If a is related to b and b is related to a, then a = b

<p>A set is a collection of distinct elements, while a relation is a set of ordered pairs that relate elements from different sets.</p> Signup and view all the answers

<p>Sets are used to categorize and organize elements, while relations are used to establish connections and dependencies between elements, aiding in the analysis and solution of mathematical problems.</p> Signup and view all the answers

<p>One example is in social network analysis, where sets can represent groups of individuals and relations can indicate connections or interactions between them, helping to study and understand social structures and behaviors.</p> Signup and view all the answers