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 }