Is it true that every relation which is symmetric and transitive is also reflexive? Give reasons.

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

Give an example of a relation which is symmetric but neither reflexive nor transitive.

(n)/(m) means that n is a factor of m,then the relation T' is (a) reflexive and symmetric (b) transitive and reflexive and symmetric (b) and symmetric (d) reflexive,transtive and not symmetric

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.

Let R be the relation on the set A={1,\ 2,\ 3,\ 4} given by R={(1,\ 2),\ (2,\ 2),\ (1,\ 1),\ (4,\ 4),\ (1,\ 3),\ (3,\ 3),\ (3,\ 2)} . Then, 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

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

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

Let R be a relation defined by R={(a,b):a>=b,a,b in R}. The relation R is (a) reflexive,symmetric and transitive (b) reflexive,transitive but not symmetric ( d) symmetric,transitive but not reflexive (d) neither transitive nor reflexive but symmetric

Consider that the set A = {a, b, c} . Give an example of a relation R on A. Which is : (i)reflexive and symmetric but not transitive (ii) symmetric and transitive but not reflexive (iii) reflexive and transitive but not symmetric.

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