Set Theory and Relations
Mathematics Solutions from Chapter -1 - Set Theory and Relations
This chapter covers topics, such as Algebra of Sets, Types of Sets, Subsets and Power Set, Basics of Sets, Basics of Relations, Types of Relations, and Binary Operations.
Practice Other Topics from Set Theory and Relations
This topic covers concepts, such as Cardinality of a Set, Representation of Sets, Definition of a Set, Element of a Set, Representation of Sets: Venn Diagram, Set Theory Symbols, Representation of Sets: Set-builder Method, Sets and Relations, etc.
This topic covers concepts, such as Singleton Set, Types of Sets, Universal Set, Equivalent Sets, Infinite Set, Relation between Two Sets, Equal Sets, Finite Set, Null Set or Empty Set, and Disjoint Sets.
This topic covers concepts, such as Superset of a Set, Number of Subsets of a Set, Subsets of Set of Real Numbers, Open and Close Intervals, Semi-Open Interval, Length of an Interval, Power Set of a Set, Intervals as Subsets of R, etc.
This topic covers concepts, such as Complement Laws for Empty and Universal Sets, Law of U for Union of Sets, Symmetric Difference of Sets, Existence of Identity for Sets' Union, Properties of Complement Sets, Complements Laws, etc.
This topic covers concepts, such as Definition of Relations on a Set, Representation of a Relation by Arrow Diagram, Domain, Co-Domain and Range of a Relation, Representation of a Relation, Representation of a Relation by Set-Builder Method, etc.
This topic covers concepts, such as Reflexive Relation on Sets, Symmetric Relation on Sets, Universal Relation on Sets, Identity Relation on Sets, Empty Relation on Sets, Anti-Symmetric Relation on Sets, Equivalence Relation on Sets, etc.
This topic covers concepts, such as Operation Table (Composition Table), Binary Operations, Existence of Inverse for a Binary Operation, Associative Property of Binary Operations, Existence of Identity Element for a Binary Operation, etc.
