Every relation which is symmetric and transitive is also reflexive.

Give an example of a relation which is symmetric and transitive but not reflexive.

Consider the set A = {a, b, c}. Give an example of a relation R on A. which is : Symmetric and transitive but not reflexive.

Given the relation R = {(1, 2), (2, 3)} on the set of natural numbers, add a minimum of ordered pairs so that the enlarged relation is symmetric, transitive and reflexive.

Consider the set A = (1,2). Which of the following relations on A is symmetric, neither transitive nor reflexive?

Give any example of a relation, which is: (i) symmetric: but neither reflexive nor transitive. ii) transitive but neither reflexive nor symmetric. iii) reflexive and symmetric but not transitive. iv) reflexive and transitive but not symmetric. v) symmetric and transitive but not reflexive.

Let the relation in the set {1, 2, 3, 4} given by R= {(1, 2), (2, 2), (1, 1), (4,4), (1, 3), (3, 3), (3, 2) then (a)R is reflexive and symmetric but not transitive (b)R is reflexive and transitive but not symmetric (c)R is symmetric and transitive but not reflexive (d)R is an equivalence relation

Let w denote the words in the english dictionary. Define the relation R by: R = {(x,y) in W xx W | words x and y have at least one letter in common}. Then R is: (1) reflexive, symmetric and not transitive (2) reflexive, symmetric and transitive (3) reflexive, not symmetric and transitive (4) not reflexive, symmetric and transitive

Determine whether the following relation is reflexive, symmetric and transitive: Relation R in the set A of human beings in a town at a particular time given by R = (x,y): x and y live in the same locality.

Determine whether the following relation is reflexive, symmetric and transitive : Relation R in the set N of natural numbers, defined as R = (x, y) : y = x + 5 and x lt 4)