A relation on set `A = {1,2,3,4,5}` is defined as `R = {|a - b|` is prime number} then R is

A relation on set ={1,2,3,4,5} is defined as R="{"|"a-b"|" is prime number } then R is (a) Reflexive only (b) Symmetric only (c) Transitive only (d) Symmetric and transitive only (e) equivalence

A relation on set ={1,2,3,4,5} is defined as R="{"a-b"|" is prime number } then R is Reflexive only Symmetric only Transitive only Symmetric and transitive only equivalence

Let R be a relation on a set A = {1,2,3,4,5} defined as R = { (a,b) : | a ^(2) - b ^(2)| lt8}. Then the reation R is

Is the relation R in the set A={1,2,3,4,5} defined as R={(a,b):b=a+1} reflexive ?

Prove that the relation R in set A = {1, 2, 3, 4, 5} given by R = {(a,b): |a-b| is even} is an equivalence relation .

Prove that the relation R in set A = {1, 2, 3, 4, 5} given by R = {(a,b): |a-b| is even} is an equivalence relation .

Determine whether each of the following relations are reflexive, symmetric and transitive : (i) Relation R in the set A = {1, 2, 3,......, 13, 14} defined as R={(x,y): 3x-y=0} (ii) Relation R in the set N of natural numbers defined as R={(x,y): y=x+5 " and " x lt 4} (iii) Relation R in the set A = {1, 2, 3, 4, 5, 6} defined as R = {(x, y): y is divisible by x}. iv) Relation R in the set Z, of all integers defined as R = {(x, y) : x -y is an integer}.

Write the following relations as the sets of ordered pair: A relation R on the set {1,2,3,4,5,6,7} defined by (x,y)in R hArr x is relatively prime to y .

Show that the relation R in the set A= {1,2,3,4,5} given by R= "{"(a,b):|a-b| is even} is an equivalence relation.