Types of Relation o Empty Relation. o Universal Relation. o Trivial relation. o Reflexive relation. o Symmetric relation. o Transitive relations. o Equivalence relation.
Note that 2 different input can have same output as well, eg for F( x) = x 2, both-5 & 5 gives output as 5. But one input can’ t have multiple outputs. E. g.: Input 3 will always give 9 in this case as output; it can’ t give any other output.
Types of Relation o Empty Relation. o Universal Relation. o Trivial relation. o Reflexive relation. o Symmetric relation. o Transitive relations. o Equivalence relation.
A relation R on a set A is a subset of the Cartesian product AxA. A relation R between two sets A and B is a subset of Cartesian Product A × B. Empty Relation
A relation R in a set A is called empty relation, if no element of A is related to any element of A.
R = φ ⊂ A × A. Eg: Girls school R = {( a, b): a is brother of b }