Let `A={1,\ 2,\ 3}` . Then, show that the number of relations containing (1, 2) and (2, 3) which are reflexive and transitive but not symmetric is three.

Let quad A={1,2,3} Then number of relations containing (1,2) and (1,3) which are reflexive and symmetric but not transitive is (A) 1(B) 2 (D) 4

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

Show that the divisibility relation in the set of positive integers is reflexive and transitive,but not symmetric.

Show that the relation >= on the set R of all real numbers is reflexive and transitive but nut symmetric.

Show that the relation geq on the set R of all real numbers is reflexive and transitive but not symmetric.

If A={1,2,3,4} define relations on A which have properties of being reflexive, transitive but not symmetric.

If A={4,2,3} Then a relation reflexive but not symmetric on A is

Let A={1, 2, 3) be a given set. Define a relation on A swhich is (i) reflexive and transitive but not symmetric on A (ii) reflexive and symmeetric but not transitive on A (iii) transitive and symmetric but not reflexive on A (iv) reflexive but neither symmetric nor transitive on A (v) symmetric but neither reflexive nor transitive on A (vi) transitive but neither reflexive nor symmetric on A (vii) neither reflexive nor symmetric and transitive on A (vii) an equivalence relation on A (ix) neither symmetric nor anti symmmetric on A (x) symmetric but not anti symmetric on A