[" Relation "R" in the set "A={1,2,3,4,5,6]" as "],[qquad R={(x,y):y" is divisible by "x)]

Determine whether each of the following relations are reflexive , symmetric and transitive : Relation R in the set A = {1,2,3,4,5,6} as R = {(x,y):y is divisible by x}.

Determine whether each of the following relations are reflexive, symmetric and transitive: Relation R in the set A = (1,2,3,4,5,6) as R = (x,y), y is divisible by x.

Determine whether the following relations are reflexive, symmetric and transitive:Relation R in the set A = {1, 2, 3, 4, 5, 6} as R = {(x, y) : y is divisible by x}

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 }