1.If `A={5,6,7}` and `R={(5,5),(6,6),(7,7),(5,6),(6,5),(6,7),(7,6)}`. Then `R` is `a)` Reflexive, symmetric but not Transitive `b)` Reflexive, Transitive but not symmetric `c)`Symmetric, transitive but not reflexive `d)` an equivalence relation

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 (a) 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 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

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

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

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

Every relation which is symmetric and transitive is also reflexive.

If A = {1,2,3} and R = { (1,1}, ( 2,2), (3,3)} then R is reflexive, symmetric or transitive?

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

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

Give an 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.