, 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 < 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}
2 Show that the relation R in the set R of real numbers, defined as
R = {(a, b) : a ≤ b2} is neither reflexive nor symmetric nor transitive 3 Check whether the relation R defined in the set {1, 2, 3, 4, 5, 6} as
R = {(a, b) : b = a + 1} is reflexive, symmetric or transitive