Set Theory and Relations

IMPORTANT

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, Binary Operations, Basics of Sets, Types of Relations, and Basics of Relations.

Practice Other Topics from Set Theory and Relations

This topic covers concepts, such as Representation of Sets: Venn Diagram, Representation of Sets: Set-builder Method, Sets, Representation of Sets, Representation of Sets: Roster Method, Element of a Set, Cardinality of a Set, etc.

This topic covers concepts, such as Universal Set, Equivalent Sets, Finite Set, Equal Sets, Types of Sets, Infinite Set, Null Set or Empty Set, Disjoint Sets, Singleton Set, and Relation between Two Sets.

This topic covers concepts, such as Open and Close Intervals, Number of Subsets of a Set, Subset of a Set, Proper Subsets of a Set, Length of an Interval, Semi-Open Interval, Subsets of Set of Real Numbers, Intervals as Subsets of R, etc.

This topic covers concepts, such as Idempotent Property of Sets' Intersection, Number of Elements in Intersection of Two Sets, Complement of a Set, Complement Laws for Empty and Universal Sets, Number of Elements in Union of Two Disjoint Sets, etc.

This topic covers concepts, such as Domain, Co-domain and Range of a Relation, Associative Property of Cartesian Product of Sets, Cartesian Product of Two Sets, Representation of a Relation, Composition of Relations, Relation on a Set, etc.

This topic covers concepts, such as Universal Relation on Sets, Types of Relations, Empty Relation on Sets, Anti-symmetric Relation on Sets, Reflexive Relation on Sets, Identity Relation on Sets, Symmetric Relation on Sets, etc.

This topic covers concepts, such as Commutative Property of Binary Operations, Operation Table (Composition Table), Associative Property of Binary Operations, Binary Operations, Existence of Non-zero Divisors for a Binary Operation, etc.