Let R be relation on the set N of natural numbers defined by a +3b=12 . Find : (i) R (ii) domain of R (iii) Range of R

Let R be the relation on the set N of natural numbers defined by a + 3b = 12. Find : R.

Let R be the relation on the set R of all real numbers defined by a R b Iff |a-b| le1. Then R is

Let R be a relation on the set N of natural numbers defined by n\ R\ m iff n divides mdot Then, R is (a) Reflexive and symmetric (b) Transitive and symmetric (c) Equivalence (d) Reflexive, transitive but not symmetric

Let R be the relation on the set N of natural numbers given by : R: {(a,b): a-b > 2, b > 3} Then :

Let R be the relation defined on the set N of natural numbers by the rule xRy iff x + 2 y = 8, then domain of R is

Let R be the relation on the set N of natural numbers given by R= {(a, b): a-bgt2,b gt 3} .then (a) (4,1) in R (b) (5,8) in R (c) (8,7) inR (d) (10,6) inR

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}.

Let R be a relation from a set A to a set B, then: