[" (c) transitive "],[" 20.Let "R={(a,a)}" be a relation on a set "A." Then "R" is "],[" (a) symmetric "],[" (c) symmetric and antisymmetric "],[" (d) "symmetric" and antisymmetric "]

Can a relation R on a set A be both symmetric and antisymmetric?

If R is a relation on a set A, prove that R is symmetric iff R^-1 = R.

Prove that a relation R on a set A is symmetric iff R=R^(-1) .

Prove that a relation R on a set A is symmetric iff R=R^(-1) .

Let A ={1,2,3} be a given set. Define a relation on A which is symmetric but not antisymmetric on A

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

Let R and S be two relations on a set A. If (i) R and S are both symmetric on A prove that R cup S and R cup S are also symmetric on A

Define a relation R on the set A ={a,b,c} which is neither reflexive nor symmetric and transitive.

S is a relation over the set R of all real numbers and it is given by (a ,\ b) in ShArra bgeq0 . Then, S is symmetric and transitive only reflexive and symmetric only (c) antisymmetric relation (d) an equivalence relation

S is a relation over the set R of all real numbers and it is given by (a ,\ b) in ShArra bgeq0 . Then, S is symmetric and transitive only reflexive and symmetric only (c) antisymmetric relation (d) an equivalence relation