In the set `A = {1, 2, 3, 4, 5}`, a relation R is defined by `R = {(x, y) \ x, y in A and x < y}`. Then R is

In the set of A = {1, 2, 3, 4, 5} , a relation R is defined by R = (x,y) : x, y in A, x lt y) Then R is

Let A = {1,2,3,4,5,6} and R be the relation defined on A by R = {(x, y): x, y in A, x divides y}, then range of R is

If A = {2,3,4,5,6) and R is a relation on set A defined by R= {(x, y): y=x+2, X, y in A} then

Let A = {1, 2, 3, 4, 5, 6}. Define a relation R from A to A by R = {(x, y) : y = x+1}.

Let A = {1, 2, 3, 4, 5, 6}. Define a relation R from A to A by R = {(x, y) : y = x+1}.

Let A={1,2,3,4,5} and a relation on it is R={(x,y)//x,y in A" and "x+y=5} then R is

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} 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} (v) Relation R in the set A of human beings in a town at a particular time given by (a) R = {(x, y) : x and y work at the same place} (b) R = {(x, y) : x and y live in the same locality} (c) R = {(x, y) : x is exactly 7 cm taller than y } (d) R = {(x, y) : x is wife of y } (e) R = {(x, y) : x is father of y }