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Let R be the relation on the set A={1,\ ...

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

A

Reflexive

B

Symmetric

C

Equivalence

D

Reflexive and Symetric

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A, B, D
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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 A={1,\ 2,\ 3} and consider the relation R={(1,\ 1),\ (2,\ 2),\ (3,\ 3),\ (1,\ 2),\ (2,\ 3),\ (1,\ 3)} . Then, R is (a) reflexive but not symmetric (b) reflexive but not transitive (c) symmetric and transitive (d) neither symmetric nor transitive

Show that the relation R on the set A={1,\ 2,\ 3} given by R={(1,\ 1),\ (2,\ 2),\ (3,\ 3),\ (1,\ 2),\ (2,3\ )} is reflexive but neither symmetric nor transitive.

Find whether or not R_1={(1,\ 1),\ (1,\ 3),\ (3,\ 1),\ (2,\ 2),\ (2,\ 1),\ (3,\ 3)} , on A={1,\ 2,\ 3} is (i) reflexive (ii) symmetric (iii) transitive.

Let A={1,2,3,4} and R be a relation in A given by R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(3,1),(1,3)} . Then show that R is reflexive and symmetric but not transitive.

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

Let A={0,\ 1,\ 2,\ 3} and R be a relation on A defined as R={(0,\ 0),\ (0,\ 1),\ (0,\ 3),\ (1,\ 0),\ (1,\ 1),\ (2,\ 2),\ (3,\ 0),\ (3,\ 3)} , is R reflexive? symmetric? transitive?

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

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